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    Constant Coefficient Differential Equation

    Hi LCKurtz got it. thanks for the help and your time.
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    Constant Coefficient Differential Equation

    Thanks jackmell and LCKurtz I changed the independent variable to x=et. Yes, jackmell either solution works for the homogenous part. However, I am stuck with x2/30 which I believe is the particular solution. i.e. I had set G(x) = x2 where the partcular solution is of the form Ax2+Bx+C...
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    Constant Coefficient Differential Equation

    Hey there I am new to Physics forums and could use some help understanding/solving this problem. Use transformation x=e^t to convert equation x^2y'' + 10xy' + 8y = x^2 Solve this equation to show that solution is y = a/x^8 + b/x + x^2/30 Let me know if i missed anything here.
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