Find the general solution to y/ + (xy)² = y?e³*. Solve the following initial value problem: (1+x²)y' – 2xy = (1+x²)², y(1) = 6. - Solve the following initial value problem: 1 + 2xy? + (2x²y– cos(y)) dy 0, y(1) = T. dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the general solution to
y' + (xy)² = y²e³r.
Solve the following initial value problem:
(1+ x²)y' – 2xy = (1+ x²)²,
y(1) = 6.
Solve the following initial value problem:
dy
1
+ 2wy? + (2x²y – cos(y))
0,
y(1) =
= T.
dx
Transcribed Image Text:Find the general solution to y' + (xy)² = y²e³r. Solve the following initial value problem: (1+ x²)y' – 2xy = (1+ x²)², y(1) = 6. Solve the following initial value problem: dy 1 + 2wy? + (2x²y – cos(y)) 0, y(1) = = T. dx
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