What is the solution for x^2y^{''}+17xy^'+113y=0 ?

The solution for x^2y^{''}+17xy^'+113y=0 is y=(c_{1}cos(7ln(x))+c_{2}sin(7ln(x)))/(x^8)

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x^2y^{''}+17xy^'+113y=0

x^{2} y^{^{''}} + 17 x y^{^{'}} + 113 y = 0

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

Solution steps

x^{2} y^{''} (x) + 17 x y^{'} (x) + 113 y = 0

Solve linear ODE:

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

\frac{d}{d x} (\frac{2 x ^{2}}{2 x ^{2} + 1})

n = 0 \sum \infty \frac{7}{3 ^{n}}

\frac{d}{d x} (cosh (k x))

\int \frac{1}{tan ^{2} ( u ) + 1} d u

x \to 1 - lim (\frac{1}{x ^{2} - 1})

What is the solution for x^2y^{''}+17xy^'+113y=0 ?
The solution for x^2y^{''}+17xy^'+113y=0 is y=(c_{1}cos(7ln(x))+c_{2}sin(7ln(x)))/(x^8)