What is the solution for 2(dy)/(dx)+10y=1 ?

The solution for 2(dy)/(dx)+10y=1 is y=-(e^{-5x-c_{1}})/(10)+1/10

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2(dy)/(dx)+10y=1

2 \frac{d y}{d x} + 10 y = 1

y = - \frac{e ^{- 5 x - c_{1}}}{10} + \frac{1}{10}

Solution steps

2 \frac{d y}{d x} + 10 y = 1

Solve separable ODE:

y = - \frac{e ^{- 5 x - c_{1}}}{10} + \frac{1}{10}

y = - \frac{e ^{- 5 x - c_{1}}}{10} + \frac{1}{10}

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x ln (x) y^{^{'}} + y = x e^{x}, y (2) = - 5

\frac{d}{d x} (5 x x)

\frac{d}{d x} (2 cos (\frac{1}{2} x))

What is the solution for 2(dy)/(dx)+10y=1 ?
The solution for 2(dy)/(dx)+10y=1 is y=-(e^{-5x-c_{1}})/(10)+1/10