. By the method of variation of parameters, solve the following differential equation - y" + (1 cotx)y' - ycotx = sin²x.
. By the method of variation of parameters, solve the following differential equation - y" + (1 cotx)y' - ycotx = sin²x.
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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Transcribed Image Text:By the method of variation of parameters, solve the
following differential equation
2
y + (1 - cotx)y ycotx = sin²x.
1. By the method of variation of parameters, solve the following differential
equation
y" (1 cotx)y' - ycotx = sin²x.
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Step 1: Write a theorem to find the second Linearly independent solution
VIEWStep 2: Determine a solution to the corresponding homogeneous equation
VIEWStep 3: Determine the second Linearly independent solution
VIEWStep 4: Find the complementary function
VIEWStep 5: Use the Method of variation of parameters
VIEWStep 6: Find f(x) and g(x)
VIEWStep 7: Find particular integral
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