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abrowaqas
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Homework Statement
this is Cauchy's LDE.. someone help me to solve this equation.
x^2 y'' + 3x y' + y = 1/(1-x)^2
Homework Equations
The Attempt at a Solution
i started it with substituting
x= e^t
then ln x = t
and d/dt = D
hence the equation becomes
{ D(D-1) +3D +1} y = 1/(1+e^t)^2
and i got characteristics equation
as
Yc=(c1 + c2x ) e^-1
now i have problem in findind Particular Intergral i-e Yp..
i-e
Yp = 1 / {(D+1)^2 (1+e^t)^2 } ?
somebody help to complete its solution?
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