Example 1: Find the general solution of xdx + sin²2 (ydx – xdy) = 0. Solution: dx cos 2v) dv dx 1 dv + 1 cos 2v dv = So - 1 - 5v +- sin 2v = ln c 2 1 1 In x Inz - Ine -im2) - 0 1 SE) + isin 2 () : (Y) 2 \x. Note: y = VX X 4x In- 4 2y – 2y + x sin– = 0 C X
Example 1: Find the general solution of xdx + sin²2 (ydx – xdy) = 0. Solution: dx cos 2v) dv dx 1 dv + 1 cos 2v dv = So - 1 - 5v +- sin 2v = ln c 2 1 1 In x Inz - Ine -im2) - 0 1 SE) + isin 2 () : (Y) 2 \x. Note: y = VX X 4x In- 4 2y – 2y + x sin– = 0 C X
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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