x²y" + Axy' – By = 8 sin(ln(x²))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the differential equation

a) Determine the values ​​of the constants A and B so that the function f(x)

let it be a particular solution of said inhomogeneous differential equation.

 

b) Determine the general solution of the differential equation with the constants found in part a.

x²y" + Axy' – By = 8 sin(ln(x²))
Transcribed Image Text:x²y" + Axy' – By = 8 sin(ln(x²))
f(x) = x² – sin(In(x²))
Transcribed Image Text:f(x) = x² – sin(In(x²))
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