Solve the initial value problem. 1 dy y cos 0 4 0 de y +1 = 1 The solution is. (Type an implicit solution. Type an equation using 0 and y as the variables.)

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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Solve the initial value problem.
y cos 0
4
y +1
1 dy
0 de
π
y 2
= 1
The solution is
(Type an implicit solution. Type an equation using 0 and y as the variables.)
Transcribed Image Text:Solve the initial value problem. y cos 0 4 y +1 1 dy 0 de π y 2 = 1 The solution is (Type an implicit solution. Type an equation using 0 and y as the variables.)
Expert Solution
Step 1: Given the information

The given initial value problem,

1 over theta fraction numerator d y over denominator d theta end fraction equals fraction numerator y space cos theta over denominator y to the power of 4 plus 1 end fraction comma space y open parentheses straight pi over 2 close parentheses equals 1

The aim is to find the solution to the initial value problem.

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