Solve the given differential equation by variation of parameters. y" + y = sec(x) tan(x) O y= c cos(x) + c2x cos(x) + x cos(x) - sin(x) In|cos(x)| O y = c1 cos(x) + (c2 - 1) sin(x) + x cos(x) - sin(x) In|cos(x)| O y = c1 cos(x) + c2 sin(x) + x cos(x) - x sin(x) Oy = Ci sin(x) + (c2 - 1) cos(x) + x sin(x) - cos(x) In|sin(x)|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5) Please help with following multiple choice ASAP!

Solve the given differential equation by variation of parameters.
y" + y = sec(x) tan(x)
%3D
O y = c1 cos(x) + c2x cos(x) + x² cos(x) – sin(x) In|cos(x)|
Oy = c1 cos(x) + (c2 – 1) sin(x) + x cos(x) – sin(x) In|cos(x)|
-
O y = c1 cos(x) + c2 sin(x) + x cos(x) – x sin(x)
O y = c1 sin(x) + (c2 - 1) cos(x) + x sin(x) - cos(x) In|sin(x)|
Transcribed Image Text:Solve the given differential equation by variation of parameters. y" + y = sec(x) tan(x) %3D O y = c1 cos(x) + c2x cos(x) + x² cos(x) – sin(x) In|cos(x)| Oy = c1 cos(x) + (c2 – 1) sin(x) + x cos(x) – sin(x) In|cos(x)| - O y = c1 cos(x) + c2 sin(x) + x cos(x) – x sin(x) O y = c1 sin(x) + (c2 - 1) cos(x) + x sin(x) - cos(x) In|sin(x)|
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