Solve the following differential equations. dy a) ce 3x y = 1-ce 3x b) y = √2 cos x + c dx dy dx = (y − 1)(y + 2) sin x y c) y' = √y d) y' = y² - 2y - 2 y = ( 2 + c ) ² y = 2 1-ce2x 1
Solve the following differential equations. dy a) ce 3x y = 1-ce 3x b) y = √2 cos x + c dx dy dx = (y − 1)(y + 2) sin x y c) y' = √y d) y' = y² - 2y - 2 y = ( 2 + c ) ² y = 2 1-ce2x 1
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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show me how they came up with the answers

Transcribed Image Text:Solve the following differential equations.
dy
a)
dx
b) =
dy
dx
= (y - 1)(y + 2)
sin x
y
c) y' = √y
d) y' = y² - 2y
ce³x
y =
1-ce³x
y = √2 cos x + c
-
y = ( ₁² + c ) ²
2
y =
1-ce2x
1
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