What is the solution for t^2y^{''}+17ty^'+64y=0 ?

The solution for t^2y^{''}+17ty^'+64y=0 is y=(c_{1})/(t^8)+(c_{2}ln(t))/(t^8)

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t^2y^{''}+17ty^'+64y=0

t^{2} y^{^{''}} + 17 t y^{^{'}} + 64 y = 0

y = \frac{c _{1}}{t ^{8}} + \frac{c _{2} ln ( t )}{t ^{8}}

Solution steps

t^{2} y^{''} (t) + 17 t y^{'} (t) + 64 y = 0

Solve linear ODE:

y = \frac{c _{1}}{t ^{8}} + \frac{c _{2} ln ( t )}{t ^{8}}

y = \frac{c _{1}}{t ^{8}} + \frac{c _{2} ln ( t )}{t ^{8}}

What is the solution for t^2y^{''}+17ty^'+64y=0 ?
The solution for t^2y^{''}+17ty^'+64y=0 is y=(c_{1})/(t^8)+(c_{2}ln(t))/(t^8)