Solve the following D.E 1) xy" – y2 – 2y' = 0 2) y³y" – 3y*y' = 0 3) yy" – 3y = 0 4) y?y" – 2y' = 0 5) xy" + 2xy' = x3 6) y" + 2y' = 4x 7) 1+yy" + (y')² = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Solve the following D.E
1) xy" – y2 – 2y' = 0
2) y³y" – 3y*y' = 0
3) yy" – 3y = 0
4) y?y" – 2y' = 0
5) xy" + 2xy' = x3
6) y" + 2y' = 4x
7) 1+yy" + (y')² = 0
Transcribed Image Text:Solve the following D.E 1) xy" – y2 – 2y' = 0 2) y³y" – 3y*y' = 0 3) yy" – 3y = 0 4) y?y" – 2y' = 0 5) xy" + 2xy' = x3 6) y" + 2y' = 4x 7) 1+yy" + (y')² = 0
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