DIFF EQUAT W/BOUNDAR >PRINT UPGRADE<
9th Edition
ISBN: 9781337810906
Author: ZILL
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 1.3, Problem 30E
To determine
One-parameter family of solutions for the given equation.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Hello! Please solve this practice problem step by step thanks!
PEER REPLY 1:
Choose a classmate's Main Post and review their decision making process.
1. Choose a risk level for each of the states of nature (assign a probability
value to each).
2. Explain why each risk level is chosen.
3. Which alternative do you believe would be the best based on the maximum
EMV?
4. Do you feel determining the expected value with perfect information
(EVWPI) is worthwhile in this situation? Why or why not?
Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 1 Solutions
DIFF EQUAT W/BOUNDAR >PRINT UPGRADE<
Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 18 state the order of the given...Ch. 1.1 - In Problems 9 and 10 determine whether the given...Ch. 1.1 - In Problems 9 and 10 determine whether the given...
Ch. 1.1 - In Problems 1114 verify that the indicated...Ch. 1.1 - In Problems 1114 verify that the indicated...Ch. 1.1 - In Problems 1114 verify that the indicated...Ch. 1.1 - In Problems 1114 verify that the indicated...Ch. 1.1 - In Problems 1518 verify that the indicated...Ch. 1.1 - In Problems 1518 verify that the indicated...Ch. 1.1 - In Problems 1518 verify that the indicated...Ch. 1.1 - In Problems 1518 verify that the indicated...Ch. 1.1 - In Problems 19 and 20 verify that the indicated...Ch. 1.1 - In Problems 19 and 20 verify that the indicated...Ch. 1.1 - In Problems 2124 verify that the indicated family...Ch. 1.1 - In Problems 2124 verify that the indicated family...Ch. 1.1 - In Problems 2124 verify that the indicated family...Ch. 1.1 - In Problems 2124 verify that the indicated family...Ch. 1.1 - In Problems 2528 use (12) to verify that the...Ch. 1.1 - In Problems 2528 use (12) to verify that the...Ch. 1.1 - In Problems 2528 use (12) to verify that the...Ch. 1.1 - Prob. 28ECh. 1.1 - Verify that the piecewise-defined function...Ch. 1.1 - In Example 7 we saw that y=1(x)=25x2 and...Ch. 1.1 - In Problems 31-34 find values of m so that the...Ch. 1.1 - In Problems 31-34 find values of m so that the...Ch. 1.1 - In Problems 31-34 find values of m so that the...Ch. 1.1 - In Problems 31-34 find values of m so that the...Ch. 1.1 - In Problems 35 and 36 find values of m so that the...Ch. 1.1 - In Problems 35 and 36 find values of m so that the...Ch. 1.1 - In Problems 3740 use the concept that y = c, x ...Ch. 1.1 - In Problems 3740 use the concept that y = c, x ...Ch. 1.1 - In Problems 3740 use the concept that y = c, x ...Ch. 1.1 - In Problems 3740 use the concept that y = c, x ...Ch. 1.1 - Prob. 41ECh. 1.1 - In Problems 41 and 42 verify that the indicated...Ch. 1.1 - Make up a differential equation that does not...Ch. 1.1 - Make up a differential equation that you feel...Ch. 1.1 - What function do you know from calculus is such...Ch. 1.1 - What function (or functions) do you know from...Ch. 1.1 - The function y = sin x is an explicit solution of...Ch. 1.1 - Discuss why it makes intuitive sense to presume...Ch. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - The graphs of members of the one-parameter family...Ch. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - The normal form (5) of an nth-order differential...Ch. 1.1 - Find a linear second-order differential equation...Ch. 1.1 - Consider the differential equation dy/dx = ex2....Ch. 1.1 - Consider the differential equation dy/dx = 5 y....Ch. 1.1 - Prob. 61ECh. 1.1 - Consider the differential equation y = y2 + 4. (a)...Ch. 1.2 - In Problems 1 and 2, y = 1/(1 + c1ex) is a...Ch. 1.2 - In Problems 1 and 2, y = 1/(1 + c1ex) is a...Ch. 1.2 - In Problems 36, y = 1/(x2 + c) is a one-parameter...Ch. 1.2 - In Problems 36, y = 1/(x2 + c) is a one-parameter...Ch. 1.2 - In Problems 36, y = 1/(x2 + c) is a one-parameter...Ch. 1.2 - In Problems 36, y = 1/(x2 + c) is a one-parameter...Ch. 1.2 - In Problems 710, x = c1 cos t + c2 sin t is a...Ch. 1.2 - In Problems 710, x = c1 cos t + c2 sin t is a...Ch. 1.2 - In Problems 710, x = c1 cos t + c2 sin t is a...Ch. 1.2 - In Problems 710, x = c1 cos t + c2 sin t is a...Ch. 1.2 - In Problems 1114, y = c1ex + c2ex is a...Ch. 1.2 - In Problems 1114, y = c1ex + c2ex is a...Ch. 1.2 - In Problems 1114, y = c1ex + c2ex is a...Ch. 1.2 - In Problems 1114, y = c1ex + c2ex is a...Ch. 1.2 - In Problems 15 and 16 determine by inspection at...Ch. 1.2 - In Problems 15 and 16 determine by inspection at...Ch. 1.2 - In Problems 1724 determine a region of the...Ch. 1.2 - In Problems 1724 determine a region of the...Ch. 1.2 - In Problems 1724 determine a region of the...Ch. 1.2 - Prob. 20ECh. 1.2 - In Problems 1724 determine a region of the...Ch. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - In Problems 1724 determine a region of the...Ch. 1.2 - In Problems 2528 determine whether Theorem 1.2.1...Ch. 1.2 - In Problems 2528 determine whether Theorem 1.2.1...Ch. 1.2 - Prob. 27ECh. 1.2 - In Problems 2528 determine whether Theorem 1.2.1...Ch. 1.2 - (a) By inspection find a one-parameter family of...Ch. 1.2 - (a) Verify that y = tan (x + c) is a one-parameter...Ch. 1.2 - (a) Verify that y = 1 /(x + c) is a one-parameter...Ch. 1.2 - Prob. 32ECh. 1.2 - (a) Verify that 3x2 y2 = c is a one-parameter...Ch. 1.2 - Prob. 34ECh. 1.2 - In Problems 3538 the graph of a member of a family...Ch. 1.2 - In Problems 3538 the graph of a member of a family...Ch. 1.2 - In Problems 3538 the graph of a member of a family...Ch. 1.2 - In Problems 3538 the graph of a member of a family...Ch. 1.2 - Prob. 39ECh. 1.2 - In Problems 3944, y = c1 cos 2x + c2 sin 2x is a...Ch. 1.2 - In Problems 3944, y = c1 cos 2x + c2 sin 2x is a...Ch. 1.2 - In Problems 3944, y = c1 cos 2x + c2 sin 2x is a...Ch. 1.2 - Prob. 43ECh. 1.2 - In Problems 3944, y = c1 cos 2x + c2 sin 2x is a...Ch. 1.2 - Prob. 45ECh. 1.2 - In Problems 45 and 46 use Problem 55 in Exercises...Ch. 1.2 - Consider the initial-value problem y = x 2y, y(0)...Ch. 1.2 - Show that x=0y1t3+1dt is an implicit solution of...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.3 - Under the same assumptions that underlie the model...Ch. 1.3 - The population model given in (1) fails to take...Ch. 1.3 - Using the concept of net rate introduced in...Ch. 1.3 - Modify the model in Problem 3 for net rate at...Ch. 1.3 - A cup of coffee cools according to Newtons law of...Ch. 1.3 - The ambient temperature Tm in (3) could be a...Ch. 1.3 - Suppose a student carrying a flu virus returns to...Ch. 1.3 - At a time denoted as t = 0 a technological...Ch. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - What is the differential equation in Problem 10,...Ch. 1.3 - Prob. 12ECh. 1.3 - Suppose water is leaking from a tank through a...Ch. 1.3 - The right-circular conical tank shown in Figure...Ch. 1.3 - A series circuit contains a resistor and an...Ch. 1.3 - A series circuit contains a resistor and a...Ch. 1.3 - For high-speed motion through the airsuch as the...Ch. 1.3 - A cylindrical barrel s feet in diameter of weight...Ch. 1.3 - After a mass m is attached to a spring, it...Ch. 1.3 - In Problem 19, what is a differential equation for...Ch. 1.3 - Prob. 21ECh. 1.3 - In Problem 21, the mass m(t) is the sum of three...Ch. 1.3 - By Newtons universal law of gravitation the...Ch. 1.3 - Suppose a hole is drilled through the center of...Ch. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Infusion of a Drug A drug is infused into a...Ch. 1.3 - Tractrix A motorboat starts at the origin and...Ch. 1.3 - Reflecting surface Assume that when the plane...Ch. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Let It snow The snowplow problem is a classic and...Ch. 1.3 - Population Dynamics Suppose that dP/dt = 0.15 P(t)...Ch. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1 - In Problems 1 and 2 fill in the blank and then...Ch. 1 - In Problems 1 and 2 fill in the blank and then...Ch. 1 - In Problems 3 and 4 fill in the blank and then...Ch. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - In Problems 5 and 6 compute y and y and then...Ch. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - In Problems 15 and 16 interpret each statement as...Ch. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - (a) Verify that the one-parameter family y2 2y =...Ch. 1 - Prob. 19RECh. 1 - Suppose that y(x) denotes a solution of the...Ch. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - In Problems 2730 use (12) of Section 1.1 to verify...Ch. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - In Problems 3538, y = c1e3x + c2ex 2x is a...Ch. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Please complete through GeoGebra and present the screenshots of the results. Thanks! (This supports on how to submit it.)arrow_forwardCan you help me answer this question please. How sounds of music are related to trigonometric functions. What does change of amplitude do? How about frequency? Can we use graphs and equations, represent multiple transformations explaining their relevance to the sound wavearrow_forwardYou are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…arrow_forward
- Hello, I would like step by step solution on this practive problem please and thanks!arrow_forwardHello! Please Solve this Practice Problem Step by Step thanks!arrow_forwardCan you help me with this problem using linear recurrance: Find an explicit formula for the recurrence relation an = 2can−1 + 3c2an−2 where c not equal to 0 with initial conditions a0=4c and a1 = 0arrow_forward
- Can you help me solved this problem using generalized combination:How many combinations are there to pick r objects from 2n objects numbered from 1to 2n when repetitions are allowed and at least one object of odd type does not appear?arrow_forwardNarrow_forward1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)arrow_forward
- Please help me organize the proof of the following theorem:arrow_forwardThe population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)arrow_forwarduestion 10 of 12 A Your answer is incorrect. L 0/1 E This problem concerns hybrid cars such as the Toyota Prius that are powered by a gas-engine, electric-motor combination, but can also function in Electric-Vehicle (EV) only mode. The figure below shows the velocity, v, of a 2010 Prius Plug-in Hybrid Prototype operating in normal hybrid mode and EV-only mode, respectively, while accelerating from a stoplight. 1 80 (mph) Normal hybrid- 40 EV-only t (sec) 5 15 25 Assume two identical cars, one running in normal hybrid mode and one running in EV-only mode, accelerate together in a straight path from a stoplight. Approximately how far apart are the cars after 15 seconds? Round your answer to the nearest integer. The cars are 1 feet apart after 15 seconds. Q Search M 34 mlp CHarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage

Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Introduction to Algebra: Using Variables; Author: Professor Dave Explains;https://www.youtube.com/watch?v=WZdZhuUSmpM;License: Standard YouTube License, CC-BY