1. Find the general solution of the equation y' - y = {y²}{e*}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
This is related to bernoulli equations.
![1. Find the general solution of the equation y' - y = {y²}{e*}.
y
2. Solve the differential equation y' +2 = y².
3. Solve the equation y' + y cot x = y* sin x.
4. Find all solutions of the differential equation y' + 2 = 2x/y.
5. Find the solution of the differential equation4xy y' = y² + x², satisfying
the initial condition y(1) = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4358684c-a024-40d7-883a-c728d7aa70e0%2F1930de55-dd15-45e4-ad38-3e2af18d9f7c%2Fv48u1v87_processed.png&w=3840&q=75)
Transcribed Image Text:1. Find the general solution of the equation y' - y = {y²}{e*}.
y
2. Solve the differential equation y' +2 = y².
3. Solve the equation y' + y cot x = y* sin x.
4. Find all solutions of the differential equation y' + 2 = 2x/y.
5. Find the solution of the differential equation4xy y' = y² + x², satisfying
the initial condition y(1) = 1
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