Solve the initial value problem for 0 < x < and y(π/2) = 6. Find the integrating factor, u(x) = sin(x) Then find y(x) 9 sin(x). + cos(x) y x)y) = cos(z) sin³(z), dy dx = help (formulas) help (formulas)

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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Ordinary Differential Equations 

How do you solve for y(x)?

Solve the initial value problem
9
(sin(x) dy
+ cos(x)y) = cos(x) sin³(x),
dx
for 0 < x < π and y(π/2) = 6.
Find the integrating factor, u(x) = sin(x)
Then find y(x)
1
help (formulas)
help (formulas)
Transcribed Image Text:Solve the initial value problem 9 (sin(x) dy + cos(x)y) = cos(x) sin³(x), dx for 0 < x < π and y(π/2) = 6. Find the integrating factor, u(x) = sin(x) Then find y(x) 1 help (formulas) help (formulas)
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