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Popular >

(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}

Popular Examples

tangent of f(x)=e^{x^2},\at x= 1/2 tangent of

f (x) = e^{x^{2}}, at x = \frac{1}{2}

integral of 1/p

\int \frac{1}{p} d p

integral of (4x^2-x+25)/(x^3+25x)

\int \frac{4 x ^{2} - x + 25}{x ^{3} + 25 x} d x

derivative of 1+1/x derivative of

1 + \frac{1}{x}

derivative of 9/(x^2-3/x)

\frac{d}{d x} (\frac{9}{x ^{2}} - \frac{3}{x})

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