What is the solution for x^2y^{''}-11xy^'+36y=0 ?

The solution for x^2y^{''}-11xy^'+36y=0 is y=c_{1}x^6+c_{2}ln(x)x^6

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x^2y^{''}-11xy^'+36y=0

x^{2} y^{^{''}} - 11 x y^{^{'}} + 36 y = 0

y = c_{1} x^{6} + c_{2} ln (x) x^{6}

Solution steps

x^{2} y^{''} (x) - 11 x y^{'} (x) + 36 y = 0

Solve linear ODE:

y = c_{1} x^{6} + c_{2} ln (x) x^{6}

y = c_{1} x^{6} + c_{2} ln (x) x^{6}

What is the solution for x^2y^{''}-11xy^'+36y=0 ?
The solution for x^2y^{''}-11xy^'+36y=0 is y=c_{1}x^6+c_{2}ln(x)x^6