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    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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    https://brainmass.com/math/integrals/ode-method-variation-coefficients-58815

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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.

    $2.49

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