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Popular >

y^'=5y+a

Solution

y^{^{'}} = 5 y + a

Solution

y = \frac{e ^{5 t + c_{1}}}{5} - \frac{a}{5}

Solution steps

y^{'} (t) = 5 y + a

Solve separable ODE:

y = \frac{e ^{5 t + c_{1}}}{5} - \frac{a}{5}

y = \frac{e ^{5 t + c_{1}}}{5} - \frac{a}{5}

Graph

Popular Examples

derivative of cos(4x^3)

\frac{d}{d x} (cos (4 x^{3}))

y^{^{'}} + \frac{y}{2 + 3 t} = 3

integral of (e^{2x})/(e^x+e^{-x)}

\int \frac{e ^{2 x}}{e ^{x} + e ^{- x}} d x

integral of (x^2-1)sin(2x)

\int (x^{2} - 1) sin (2 x) d x

\frac{d}{d m} (im)

Frequently Asked Questions (FAQ)

What is the solution for y^'=5y+a ?
The solution for y^'=5y+a is y=(e^{5t+c_{1}})/5-a/5