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Find the general solution of each differential equation, and when initial conditions are given, the particular solution. 15.) 2ydx + x°dy = -dx; y = when x = In 2

Find the general solution of each differential equation, and when initial conditions are given, the particular solution. 15.) 2ydx + x°dy = -dx; y = when x = In 2

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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Find the general solution of each differential equation, and when initial conditions are given, the particular solution. 1 15.) 2ydx + x²dy = -dx; y = - when x = In 2 16.) e**ydx – eYdy = 0; y = 0 when x = 0 17.) x°dy + xydx = x²dy + 2ydx; y = e when x = 2 20.) sinx cos?y dx + cos?x dy = 0
Transcribed Image Text:Find the general solution of each differential equation, and when initial conditions are given, the particular solution. 1 15.) 2ydx + x²dy = -dx; y = - when x = In 2 16.) e**ydx – eYdy = 0; y = 0 when x = 0 17.) x°dy + xydx = x²dy + 2ydx; y = e when x = 2 20.) sinx cos?y dx + cos?x dy = 0
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