What is the solution for (dy}{dx}-\frac{6y)/x =x^6e^x ?

The solution for (dy}{dx}-\frac{6y)/x =x^6e^x is y=e^xx^6+c_{1}x^6

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(dy}{dx}-\frac{6y)/x =x^6e^x

\frac{d y}{d x} - \frac{6 y}{x} = x^{6} e^{x}

y = e^{x} x^{6} + c_{1} x^{6}

Solution steps

\frac{d y}{d x} - \frac{6 y}{x} = x^{6} e^{x}

Solve linear ODE:

y = e^{x} x^{6} + c_{1} x^{6}

y = e^{x} x^{6} + c_{1} x^{6}

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\frac{d}{d x} (\frac{0.1 x}{( x + 3 ) ^{2}})

\frac{d}{d u} (u^{2} - v^{2})

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What is the solution for (dy}{dx}-\frac{6y)/x =x^6e^x ?
The solution for (dy}{dx}-\frac{6y)/x =x^6e^x is y=e^xx^6+c_{1}x^6