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Popular Calculus >

(dy)/(dx)+2y=k

Solution

\frac{d y}{d x} + 2 y = k

Solution

y = - \frac{e ^{- 2 x - c_{1}}}{2} + \frac{k}{2}

Solution steps

\frac{d y}{d x} + 2 y = k

Solve separable ODE:

y = - \frac{e ^{- 2 x - c_{1}}}{2} + \frac{k}{2}

y = - \frac{e ^{- 2 x - c_{1}}}{2} + \frac{k}{2}

Graph

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Frequently Asked Questions (FAQ)

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