Please answer question 4 in the image. With details on how to do it. Also please make handwriting legible and clear to understand.  Thank you.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer question 4 in the image. With details on how to do it. Also please make handwriting legible and clear to understand. 

Thank you.

1. Find the general solution to x*y' + x³y = 2 + x ; y(1) = –2.
2. Find the general solution to y' = (: y(0) = 0.
3. Find the general solution to 4y" + 4y' + y = 0, ; y(0) = 0 , y'(0) = 2.
4. Find a particular solution to y" – 2y' + y = 5e2x.
5. Evaluate the following:
a. L{4t3 + 12t² – 5}
b. L{3e3t + 2 cos 4t}
(s-3
c. L-1
6. Write the partial fraction decomposition of
s3 + 9s – 3s? – 24
s(s – 3)(s² + 9)
7. Find the general solution to x" – 3x' = sin 3t ; x(0) = 1 , x'(0) = 0 ,
Using any method.
Transcribed Image Text:1. Find the general solution to x*y' + x³y = 2 + x ; y(1) = –2. 2. Find the general solution to y' = (: y(0) = 0. 3. Find the general solution to 4y" + 4y' + y = 0, ; y(0) = 0 , y'(0) = 2. 4. Find a particular solution to y" – 2y' + y = 5e2x. 5. Evaluate the following: a. L{4t3 + 12t² – 5} b. L{3e3t + 2 cos 4t} (s-3 c. L-1 6. Write the partial fraction decomposition of s3 + 9s – 3s? – 24 s(s – 3)(s² + 9) 7. Find the general solution to x" – 3x' = sin 3t ; x(0) = 1 , x'(0) = 0 , Using any method.
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