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Exercise: find the general solution of the given differential equation. 1. xy' + (1+x)y = e*sin(2x)

Exercise: find the general solution of the given differential equation. 1. xy' + (1+x)y = e*sin(2x)

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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LINEAR EQUATIONS niversity of Zakho Exercise: find the general solution of the given differential equation. 1. xy' + (1+ x)y = e-Xsin(2x) 2. ydx- 4(x + y6)dy = 0 3. cos (x) sin(x) + cos (x)y = 1 dy COS dy 4. (1+x)+ (x + 2)y = 2xe* 5. y' +tan(x) y = cos²(x), y(0) = -1 dx %3D
Transcribed Image Text:LINEAR EQUATIONS niversity of Zakho Exercise: find the general solution of the given differential equation. 1. xy' + (1+ x)y = e-Xsin(2x) 2. ydx- 4(x + y6)dy = 0 3. cos (x) sin(x) + cos (x)y = 1 dy COS dy 4. (1+x)+ (x + 2)y = 2xe* 5. y' +tan(x) y = cos²(x), y(0) = -1 dx %3D
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