Find the General Solution of the following differential equations. If boundary conditions are given, find also the Particular Solution. 1. xyy' = y² + 1 I when x = 2, y = 3 4y x(y-3) 3. ydx-4dy = x² dy 2. y' =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the General Solution of the following differential equations. If boundary conditions are
given, find also the Particular Solution.
Exercise 3
1. xyy' = y² + 1 I when x = 2, y = 3
4y
x(y-3)
2. y'
=
3. ydx-4dy = x² dy
4. t²dr + 2rdt = rtdt + t³ dr; when t = 2, r = e
5.
cos³ x dx = tan² y dy
Transcribed Image Text:Find the General Solution of the following differential equations. If boundary conditions are given, find also the Particular Solution. Exercise 3 1. xyy' = y² + 1 I when x = 2, y = 3 4y x(y-3) 2. y' = 3. ydx-4dy = x² dy 4. t²dr + 2rdt = rtdt + t³ dr; when t = 2, r = e 5. cos³ x dx = tan² y dy
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