What is the solution for (dy)/(dx)+y=yxe^{x+2} ?

The solution for (dy)/(dx)+y=yxe^{x+2} is y=e^{e^2(e^xx-e^x)-x+c_{1}}

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(dy)/(dx)+y=yxe^{x+2}

\frac{d y}{d x} + y = y x e^{x + 2}

y = e^{e^{2} (e^{x} x - e^{x}) - x + c_{1}}

Solution steps

\frac{d y}{d x} + y = y x e^{x + 2}

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y = e^{e^{2} (e^{x} x - e^{x}) - x + c_{1}}

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What is the solution for (dy)/(dx)+y=yxe^{x+2} ?
The solution for (dy)/(dx)+y=yxe^{x+2} is y=e^{e^2(e^xx-e^x)-x+c_{1}}