3. Solve the following DES/IVPs. 3 (a) (e² − 3 x² y²) y' = 2 x y³ - ye - (b) dy dx + y = y² (x − 1), y(0) = 1 -
3. Solve the following DES/IVPs. 3 (a) (e² − 3 x² y²) y' = 2 x y³ - ye - (b) dy dx + y = y² (x − 1), y(0) = 1 -
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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Transcribed Image Text:3. Solve the following DES/IVPs.
(a) (e² − 3 x² y²) y' = 2 x y³ – y ex
(b)
dy
dx
· + y = y² (x − 1), y(0) = 1
-
(c) −1+ (y)² + yy"=0, x>0, y > 0
(d) x (x²y" + y') +e² =0,_y(1)=y'(1)=
1
e
2
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