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2- Homogeneous differential equations (reducible to separable DE) Problems: Solve the following differential equations, 1) y'= 2x+ y Ans.: 2x+y 2) y = Ans.: y=xV4In.x +C. xy 3) y'=y x+2y Ans.:

2- Homogeneous differential equations (reducible to separable DE) Problems: Solve the following differential equations, 1) y'= 2x+ y Ans.: 2x+y 2) y = Ans.: y=xV4In.x +C. xy 3) y'=y x+2y Ans.:

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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2- Homogeneous differential equations (reducible to separable DE) Problems: Solve the following differential equations, !=c. 1) y= Ans.: 2x+ y y? y 2x+y Ans.: y=x/4In x+C. 2) xy 3) y'=-y x+2y Ans.: 2x + ycos 2 4) y'=- Ans.: 2+ cos 2. sin-Inx =C. rcos' 5) (3x +3y-4).dy+(x+ y)dx=0. Ans.: x+3y+2 In(x+ y- 2) = C.
Transcribed Image Text:2- Homogeneous differential equations (reducible to separable DE) Problems: Solve the following differential equations, !=c. 1) y= Ans.: 2x+ y y? y 2x+y Ans.: y=x/4In x+C. 2) xy 3) y'=-y x+2y Ans.: 2x + ycos 2 4) y'=- Ans.: 2+ cos 2. sin-Inx =C. rcos' 5) (3x +3y-4).dy+(x+ y)dx=0. Ans.: x+3y+2 In(x+ y- 2) = C.
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