Find the General Solution/ Particular Solution of the given DifferentialEquation.For the 2nd picture. The 1st picture is just an example on how to solve the equation, you mus state what kin of solution did you use in every process 3yy'==2 y'+x*4.Solution:3y> Classifying is homogeneous2 y+x*this is a homogeneous equationlet x=vy, dx=vdy+ ydvdy(vdy+y dv) 2 y+v* y*dy(vdy+y dv) 2+v*(2+v*) dy=v°(vdy+y dv)2 dy=v ydvdy =v³ dv> Homogeneous Substitutionvy*34> Substitution!!V> Separation of Variables!!14 / 36yS=f v°dv+InC> IntegrationyIny=:+InC4> General Solution4 Iny+InC=v*In Cy=v*, Cy*=e"Cy=e dy _ 4 y -3x2х-уdx

Answered: Image /qna-images/answer/011f0a72-ddad-45f8-a79e-598425074790.jpg

Answered: dy _ 4 y – 3x dx 2x- у | !!

Math

Advanced Math

dy _ 4 y – 3x dx 2x- у | !!

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: Marie knows that she will need to replace her office equipment some day. She deposits $900 into a…

A: As per the question, Marie is planning to replace her office equipment and has initiated a savings…

Q: it is placed outside. In 5 min the thermometer reading is 60°F. later, it is 55°F. Find the outdoor…

A: According to Newton's Law of cooling : The rate of change of temperature of a body is directly…

Q: An environmental study indicates that the average daily level P of a certain pollutant in the air,…

A: The function is Pn=0.050.7n2+5n+27. Differentiate the function with respect to n:…

Q: A heart pacemaker consists of a switch, a battery of constant voltage Eo, a capacitor with constant…

Q: Initially, 100 milligrams of a radioactive substance were present. After 6 hours the mass had…

Q: for this equation include the states of the reactants and products, such as (s), (g), etc., and…

Q: 9. What is the amount of radioactive material remaining after 9 days in a radioactive sample with…

A: Question number 9Question number 10

Q: At 7:00 AM, a thermometer reading 70 degrees Celsius is taken outside where the air temperature is…

A: Given that, Ts=-10°CT0=70°C

Q: Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many…

A: Given thatG=new car's gas mileage=33M=old car's gas mileage=13C=the cost of the new car=30000D=the…

Q: 100(0.99997) P = How much plutonium is present after (a) 5,000 years? (b) 10,000 years? (c) 20,000…

A: Given: The amount P(in grams) of the Plutonium present after t years is given by the equation:…

Q: Solve the differentialequation using appropriate method. Finalize answer free of fractions and…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: Find the general solution of the differential equation. 4dy + ydx = x²dy

Q: Atmospheric pressure decreases approximately exponentially as elevation increases. If the rate of…

A: We will use simple arithmetic to find solution to the problem .

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: A new cell phone is introduced into the market. It is predicted that sales will grow logistically.…

A: Advance maths Ordinary differential equations

Q: 3 A collector buys a painting for $100,000 at the beginning of 1995 and sells it for $150,000 at the…

A: Note that we need to find out effective yield here which is the annually compound interest rate that…

Q: Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is…

Q: Solve the problem. 3) The function given by y=f(x) shows the value of $5000 invested at 5% interest…

A: Given that, Initial Investment (P) = $5000 Rate of interest (r) = 5% compounded continuously. As we…

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

Q: The population of a bacteria colony after t hours is 70 +5t +2t. Find the growth rate when t=3.

A: To find growth rate, differentiating with respect to t, we get

Q: How would you solve this? Please show the steps, thanks. In 1917, Growthville has a population of…

Q: Q/Solve the differential equation by exact e-28 dr - 2re-20 de = 0

A: Given differential equation solving by exact differential equation

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

Question

Find the General Solution/ Particular Solution of the given Differential
Equation.

For the 2nd picture.

The 1st picture is just an example on how to solve the equation, you mus state what kin of solution did you use in every process

3y
y'==
2 y'+x*
4.
Solution:
3y
> Classifying is homogeneous
2 y+x*
this is a homogeneous equation
let x=vy, dx=vdy+ ydv
dy
(vdy+y dv) 2 y+v* y*
dy
(vdy+y dv) 2+v*
(2+v*) dy=v°(vdy+y dv)
2 dy=v ydv
dy =v³ dv
> Homogeneous Substitution
vy*
34
> Substitution
!!
V
> Separation of Variables
!!
14 / 36
y
S=f v°dv+InC
> Integration
y
Iny=:
+InC
4
> General Solution
4 Iny+InC=v*
In Cy=v*, Cy*=e"
Cy=e

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

DUE NOW. Please answer it correctly. Thank you!
Weekly sales of graphing calculators can be modeled by the equation s(t) = 10 – te-t/20 - where s is the number of graphing calculators sold per week after t weeks. How many graphing calculators will be sold in the first 80 weeks? calculators (include two decimal places)
Explain how to solve this question in steps.
Several years ago wolves were reintroduced in to a national park in North Carolina. Researchers have monitored the populations over the last several years and the per capita growth rate of the population is .5. If the current population size is 100, what equation would you use to determine how large the population will be in ten years? C N(1+r)t N/t *r (N*r)/t
A population of owls oscillates 30 above and below an average of 110 during the year, hitting the lowest value in February (use this for t=0). Find an equation for the population, P, in terms of the months since February, t. Explain all steps in your process. In what months is the population greater than 100?
Show work
e Solve and show work. The population of New England was 4,000 in the year 1750. The population continues to increase at a rate of 28%. per year, a writean equation that models the population of New England where t is the number of years since 1750, b) Determine the population of New England in the year 1823 using the model.
The amount of a certain medication in a patient's body over time is given by the 500(0.93) where A represents the amount of medication t A (t) (milligrams) and t is the time (hours). How many hours will it be before the doctor must administer the medication again if it should be repeated when the level of medication in the patient decreases to 100 mg? Show your work using the Equation Editor tool. equation At Paragraph Add a File = I U A/ Record Video ▶|| O + v KY
Solve the problem. Electrical systems are governed by Ohm's law, which states the V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 3 A/s while the voltage remains constant at 30 V, at what rate is the resistance increasing when the current is 52 A?
Steps by steps explanation handwriting or clean handwriting thanks
Solve both part a and b as they are related Solve the given linear differential equations
Looking for the steps on how to solve it using: y=p(1-r)^t