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Popular >

y^'=ry+k

Solution

y^{^{'}} = ry + k

Solution

y = \frac{e ^{t r + c_{1} r}}{r} - \frac{k}{r}

Solution steps

y^{'} (t) = ry (t) + k

Solve separable ODE:

y = \frac{e ^{t r + c_{1} r}}{r} - \frac{k}{r}

y = \frac{e ^{t r + c_{1} r}}{r} - \frac{k}{r}

Graph

Popular Examples

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derivative of 4x^2-7x+5 derivative of

4 x^{2} - 7 x + 5

sum from n=1 to infinity of 4/(2^n)

n = 1 \sum \infty \frac{4}{2 ^{n}}

integral from 2 to-1 of x^2+1

\int_{2}^{- 1} x^{2} + 1 d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=ry+k ?
The solution for y^'=ry+k is y=(e^{tr+c_{1}r})/r-k/r