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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
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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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
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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