What is the solution for (1+x^{16})y^'+16x^{15}y=9x^{13} ?

The solution for (1+x^{16})y^'+16x^{15}y=9x^{13} is y=(9x^{14})/(14(1+x^{16))}+(c_{1})/(1+x^{16)}

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(1+x^{16})y^'+16x^{15}y=9x^{13}

(1 + x^{16}) y^{^{'}} + 16 x^{15} y = 9 x^{13}

y = \frac{9 x ^{14}}{14 ( 1 + x ^{16} )} + \frac{c _{1}}{1 + x ^{16}}

Solution steps

(1 + x^{16}) y^{'} (x) + 16 x^{15} y = 9 x^{13}

Solve linear ODE:

y = \frac{9 x ^{14}}{14 ( 1 + x ^{16} )} + \frac{c _{1}}{1 + x ^{16}}

y = \frac{9 x ^{14}}{14 ( 1 + x ^{16} )} + \frac{c _{1}}{1 + x ^{16}}

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What is the solution for (1+x^{16})y^'+16x^{15}y=9x^{13} ?
The solution for (1+x^{16})y^'+16x^{15}y=9x^{13} is y=(9x^{14})/(14(1+x^{16))}+(c_{1})/(1+x^{16)}