What is the solution for xy^'+(1+6x)y=24e^{-6x} ?

The solution for xy^'+(1+6x)y=24e^{-6x} is y=(24)/(e^{6x)}+(c_{1})/(e^{6x)x}

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xy^'+(1+6x)y=24e^{-6x}

x y^{^{'}} + (1 + 6 x) y = 24 e^{- 6 x}

y = \frac{24}{e ^{6 x}} + \frac{c _{1}}{e ^{6 x} x}

Solution steps

x y^{'} (x) + (1 + 6 x) y = 24 e^{- 6 x}

Solve linear ODE:

y = \frac{24}{e ^{6 x}} + \frac{c _{1}}{e ^{6 x} x}

y = \frac{24}{e ^{6 x}} + \frac{c _{1}}{e ^{6 x} x}

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What is the solution for xy^'+(1+6x)y=24e^{-6x} ?
The solution for xy^'+(1+6x)y=24e^{-6x} is y=(24)/(e^{6x)}+(c_{1})/(e^{6x)x}