Consider the differential equation dy + x²y = x³y cosx. dx Select the option that gives the first step applying the separation of variables method to this differential equation. Select one: [ydy = [x² (-x + cos x) dx = √ x² (-x + cos x) da 11 dy dy [ydy=[2²cos z dz dx [=dy - [ 2² cos z dz = x dx x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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q3

Consider the differential equation
dy
+ x²y = x³y cosx.
dx
Select the option that gives the first step applying the separation of variables method to this differential
equation.
Select one:
[ydy = [x² (-x + cos x) dx
= √ x² (-x + cos x) da
11 dy
dy
[ydy=[2²cos z dz
dx
[=dy - [ 2² cos z dz
=
x dx
x
Transcribed Image Text:Consider the differential equation dy + x²y = x³y cosx. dx Select the option that gives the first step applying the separation of variables method to this differential equation. Select one: [ydy = [x² (-x + cos x) dx = √ x² (-x + cos x) da 11 dy dy [ydy=[2²cos z dz dx [=dy - [ 2² cos z dz = x dx x
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