Let w = f(x) be the solution to the I. V. P. d = w2, w(0) = %3D .Then solve the D. E. (4y + 10 f(x) + 10)dx + 8rydy = 0 O 4y?x - 5x2 + 15x c O 4y?x - 5x2 + 10x = c O 4y²x + 6x2 + 30x = c O 3y?x - 5x? + 30x = c 4y2x- 5x2 + 30x c O 4y?x - 5x2 - 20x = c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5."
Let w = f(x) be the solution
to the I. V. P.
dy = w2, w(0) = ;
%3D
. Then solve the D. E.
(4y + Fw)
10
+ 10)dx +
f(x)
8xydy = 0
%3D
O 4y?x - 5x2 + 15x c
4y2x - 5x2 + 10x c
O 4y2x + 6x² + 30x = c
%3D
3y²x-5x2 + 30x = c
%3D
O 4y²x- 5x2 + 30x = c
O 4y?x - 5x2 - 20x = c
Transcribed Image Text:5." Let w = f(x) be the solution to the I. V. P. dy = w2, w(0) = ; %3D . Then solve the D. E. (4y + Fw) 10 + 10)dx + f(x) 8xydy = 0 %3D O 4y?x - 5x2 + 15x c 4y2x - 5x2 + 10x c O 4y2x + 6x² + 30x = c %3D 3y²x-5x2 + 30x = c %3D O 4y²x- 5x2 + 30x = c O 4y?x - 5x2 - 20x = c
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