# ODE - Method of Variation of Coefficients

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ODE - Method of Variation of Coefficients : (X^2)*y''-2y=Sin(lnx)

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(x^2)*y''-2y=Sin(lnx)

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This is, I believe an Euler Eqn, please show solution with steps.

Solution. First to solve (x^2)*y''-2y=0, we can try y=x^m, where m is a constant to be determined.

y'=mx^(m-1)

y"=m(m-1)x^(m-2)

So, (x^2)*y''-2y=0 ...

#### Solution Summary

An ODE is solved by method of variation of coefficients. Sine trigonometric functions are solved.

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