What is the solution for (6xdy)/(dx)+y=x^7 ?

The solution for (6xdy)/(dx)+y=x^7 is y=(x^7)/(43)+(c_{1})/(\sqrt[6]{x)}

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(6xdy)/(dx)+y=x^7

\frac{6 x d y}{d x} + y = x^{7}

y = \frac{x ^{7}}{43} + \frac{c _{1}}{6 x}

Solution steps

\frac{6 x d y}{d x} + y = x^{7}

Solve linear ODE:

y = \frac{x ^{7}}{43} + \frac{c _{1}}{6 x}

y = \frac{x ^{7}}{43} + \frac{c _{1}}{6 x}

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\frac{d}{d x} (\frac{x}{( x - 6 ) ^{2}})

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\frac{d}{d y} (arcsin (x - y))

What is the solution for (6xdy)/(dx)+y=x^7 ?
The solution for (6xdy)/(dx)+y=x^7 is y=(x^7)/(43)+(c_{1})/(\sqrt[6]{x)}