What is the solution for t^2y^{''}-11ty^'+35y=0 ?

The solution for t^2y^{''}-11ty^'+35y=0 is y=c_{1}t^7+c_{2}t^5

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t^2y^{''}-11ty^'+35y=0

t^{2} y^{^{''}} - 11 t y^{^{'}} + 35 y = 0

y = c_{1} t^{7} + c_{2} t^{5}

Solution steps

t^{2} y^{''} (t) - 11 t y^{'} (t) + 35 y = 0

Solve linear ODE:

y = c_{1} t^{7} + c_{2} t^{5}

y = c_{1} t^{7} + c_{2} t^{5}

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y^{^{''}} + y = 2 csc^{2} (t)

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What is the solution for t^2y^{''}-11ty^'+35y=0 ?
The solution for t^2y^{''}-11ty^'+35y=0 is y=c_{1}t^7+c_{2}t^5