What is the solution for (1+x^{14})((dy)/(dx))+14x^{13}y=11x^5 ?

The solution for (1+x^{14})((dy)/(dx))+14x^{13}y=11x^5 is y=(11x^6)/(6(1+x^{14))}+(c_{1})/(1+x^{14)}

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(1+x^{14})((dy)/(dx))+14x^{13}y=11x^5

(1 + x^{14}) (\frac{d y}{d x}) + 14 x^{13} y = 11 x^{5}

y = \frac{11 x ^{6}}{6 ( 1 + x ^{14} )} + \frac{c _{1}}{1 + x ^{14}}

Solution steps

(1 + x^{14}) (\frac{d y}{d x}) + 14 x^{13} y = 11 x^{5}

Solve linear ODE:

y = \frac{11 x ^{6}}{6 ( 1 + x ^{14} )} + \frac{c _{1}}{1 + x ^{14}}

y = \frac{11 x ^{6}}{6 ( 1 + x ^{14} )} + \frac{c _{1}}{1 + x ^{14}}

3^{x^{2} - 1}, at x = 2

\int 3^{5 x - 2} d x

\frac{d}{d x} (\frac{800}{x})

x \to 4 lim (\frac{2}{x - 4} - \frac{x + 4}{x ^{2} - 4 x})

\int \frac{x ^{5} - x ^{3} + 4 x}{x ^{4}} d x

What is the solution for (1+x^{14})((dy)/(dx))+14x^{13}y=11x^5 ?
The solution for (1+x^{14})((dy)/(dx))+14x^{13}y=11x^5 is y=(11x^6)/(6(1+x^{14))}+(c_{1})/(1+x^{14)}