What is the solution for 3(dy)/(dx)+5y=1 ?

The solution for 3(dy)/(dx)+5y=1 is y=-(e^{(-5x-c_{1})/3})/(5)+1/5

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3(dy)/(dx)+5y=1

3 \frac{d y}{d x} + 5 y = 1

y = - \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{1}{5}

Solution steps

3 \frac{d y}{d x} + 5 y = 1

Solve separable ODE:

y = - \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{1}{5}

y = - \frac{e ^{\frac{- 5 x - c _{1}}{3}}}{5} + \frac{1}{5}

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

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What is the solution for 3(dy)/(dx)+5y=1 ?
The solution for 3(dy)/(dx)+5y=1 is y=-(e^{(-5x-c_{1})/3})/(5)+1/5