Let w = f(x) be the solution to the I. V. P. dw w?, w(0) = 1 dx %3D Then solve the D. E. 10 (3y + + 10)dx + f(x) 6xydy = 0 5x + 20x = c 3xy-5x2 + x = c xy-5x2 + 20x = c 3xy-5x2 c 3xy-5x² + 20x = c 3xy-5x + +20x=

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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Question
7
* السؤال .7
Let w = f(x) be the solution
to the I. V. P.
dw
dx
= w, w(0) = 1
%3D
. Then solve the D. E.
(Зу? +
10
+ 10)dx +
f(x)
6xydy = 0
5x2 + 20x = c
3xy-5x + x = c
O xy? - 5x2 + 20x = c
3xy-5x2
3xy-5x2 + 20x
3xy-5x? + 20x c
Transcribed Image Text:* السؤال .7 Let w = f(x) be the solution to the I. V. P. dw dx = w, w(0) = 1 %3D . Then solve the D. E. (Зу? + 10 + 10)dx + f(x) 6xydy = 0 5x2 + 20x = c 3xy-5x + x = c O xy? - 5x2 + 20x = c 3xy-5x2 3xy-5x2 + 20x 3xy-5x? + 20x c
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