I do not understand what they did from the first to second line 2 ln (1 + √y) = 2 ln (1+√√x) + In CIn { (1 + √y)²} = ln {C(1 + √π)²}(1 + √y)² = C(1 + √√x) ²1+√y = C₁ (1+√x)Further, simplify the above equation,√y = C₁ (1+√√x) – 1= [C₁ (1 + √√x) − 1]²

Given that 2 log 1+y=2log1+x+log C Here we need to explain the next steps.

Answered: 2 ln (1+√√y) = 2 ln (1+√√x) + In C n{(1…

Math

Advanced Math

2 ln (1+√√y) = 2 ln (1+√√x) + In C n{(1 + √y)²} = ln {C(1 + √@)²}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Mura is paddling her canoe to Centre Island. The trip in one direction is 5 km. She noticed that the…

A: Mura is paddling her canoe to Centre Island. The trip in one direction is 5 km. She noticed that the…

Q: Is the following variable discrete or continuous: The number of questions asked during a 1-hour…

A: Discrete random varible:A discrete random variable has a countable number of possible values…

Q: 1. Draw a square. 2. Divide each of the square's straight lines into fourths. In a clockwise order:…

A: Explanation: Draw a square ABCD of all four sides equal and angle between the adjacent sides as 900.…

Q: line 3 i cant make out? line one says given data then line 2 says m=100 then what does the next line…

A: Line 2 : Mean ( myu) = 100

Q: Complete the following for y = 3x x=-2, y= x=-1, y= x= 0, y= x= 1, y= x= 2, y= Please type out…

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B 2. let A= [[-1,3],[0,4],[9,-4]]and…

Q: Which of the following statements is TRUE? Select one: O a. If a variable is said to be integrated…

A: Option c and d

Q: FRQ #1 - In terms of work/answers, think about what is needed to get ESSENTIALS (not partials) In…

A: The objective of the question is to calculate the percentage of players who played the game and were…

Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: 1. The table shows the number of deaths in the U.S. in a year due to a variety of causes. For these…

A: The total population of the USA is given to be312 million. The table below shows the number of…

Q: d) At what time are the ships closest? Remember to justify with analysis of your number line and…

Q: At 1:00pm a truck driver picked up a fare card at the entrance of a tollway (like in the bad old…

A: Given, Travel time from 1 pm to 2:15 pm = 1.15 hour Distance travelled from 1 pm to 2:15 pm = 100…

Q: gialon and iti distance thal the Mlepuesenk line Yuem ihe orighn 5 V13 26

A: Given that, z+2=z+3i Let z=x+iy Then the equation becomes, x+iy+2=x+iy+3ix+2+iy=x+iy+3 It can be…

Q: What is the value of f(5) if we know the fllowing: i) the graph offis made of closed line segments…

A: Start point −2,0 f'x for interval x=-2 to x=0 is given by f'x=m=−2, point −2,0 Equation of the…

Q: ind the probability. 50) A bag contains 9 red marbles, 6 blue marbles, and 4 green marbles. What is…

Q: 9. What is the main purpose of Gage R &R? Write 2 or 3 lines.

Q: Calculate a student's GPA for this semester Course ENG 111 Credit Hours 4 Grade A Course PSY 150…

A: Given information: The semester results of a student are shown below: Course Credit Hours Grade…

Q: Find the probability of the given event. 57) A bag contains 4 nickels, 3 dimes, and 2 quarters. If…

Q: A depot is located at the intersection of an east-west railroad and a north-south highway. Two…

A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…

Q: Please interpret the following 3 box plots 1. Horizontal ROY Plot (Lot 01 - Thursday)

A: A boxplot generally visualizes data using five number summary(minimum, Q1, Median, Q3, Maximum) It…

Q: 51 percent of students are male. 36 percent of students take statistics. 43 percent of male students…

A: From given data, Statistics Not Statistics Total Male ? ? 0.51 Female ? ? ? Total 0.36 ?…

Q: 1. Fit the data P1 = (-5, 3), P2 = (-4, 2), P3 = (-2, 7), P4 = (0, 0), P5 = (1, 5), P6= (3, 3), P7 =…

Q: anet's son was the first to arrive, at 11:11, followed by Kirsty's daughter 111 Finally, Linda had…

A: Births of Kirsty's daughter = 01:02pm Births of Linda's daughter = 10:09pm

Q: Gail is taking a bus tour of Glacier National Park. The tour leaves at 7:55 AM and returns at ll:13…

A: 1hour = 60 minutes.

Q: 3) y=-x² + 2.x + 1 Ay 2.5 15 0.5 -0.5 -1.5 -2.5

A: Topic:- geometry

Q: 19) Under normal conditions, Jacob's Jetta can go 600 miles on a full tank (15 gallons) and 280…

A: 19) Given that, Under normal conditions, Jacob's Jetta can go 600 miles on a full tank (15 gallons)…

Q: The fourth door is very tricky. It has a 4-number lock to escape consisting of the numbers from 1 to…

A: (a) Gottfried Leibniz published his first works on calculus in 1684 (source: Wikipedia).

Q: 4. Lin and Diego travel in cars on the highway at constant speeds. In each case, decide who was…

A: Topic = Algebra

Question

I do not understand what they did from the first to second line

2 ln (1 + √y) = 2 ln (1+√√x) + In C
In { (1 + √y)²} = ln {C(1 + √π)²}
(1 + √y)² = C(1 + √√x) ²
1+√y = C₁ (1+√x)
Further, simplify the above equation,
√y = C₁ (1+√√x) – 1
= [C₁ (1 + √√x) − 1]²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

I unfortunately do not follow. How does ln turn into log?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Room A Room B 2 7 5 Room C | Room D 6 Room E Figure 1 i. He wanted to give a tour for his friend. Is that possible for them to walk through every doorway (label as 1, 2, 3, 4, 5, 6, and 7) exactly once? If so, which room must they begin and end the tour? Explain. Is it possible to tour the house visiting each room (label as A, B, C, D, E) exactly ii. once (not necessary using every doorway)? Explain.
The following system has an infinite number of solutions. Form an augmented matrix, then write the matrix in the reduced form. Write the reduced form of the matrix below and then write the solution in terms of z. The required augmented matrix is: 4x 8x 12x + a11 C a21 a31 2y + 1z = 4 4y + 2z 1 2y + 3z = 5 a 12 a22 a32 a13 a23 a33 b₁ b2 = ხვა 2
4. How high is the ramp 15 1t O 10 O 21
19. a, =-8, a, =7; S, 20. a, 3 6, а, - 26; 5, %3D 6, ds %3D %3D
Bob is a single man whose taxable income is $48,375 this year. How much will Bob owe in federal income taxes this year? $6,582 $5,533 $6,714 $6,593
J(csc r cot a + 4x')dr O cot r Fr'+e CSC CSC +z+e cse r CSC a +
18. For each hour that Mike practices his typing job, the speed increases by 5 words per minute. If his speed during the first hour was 40 words per minute, what will his speed be during the seventh hour?
1. A student drives 15 miles west from home and then 30 miles north to go to work. How much shorter would the trip be if it was possible to drive along a straight line from home to work. ety
9. The point (-1, 2) is reflected vertically, and shifted up 3 units.
32. An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?