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Popular >

y^'-y=e^{3t}

Solution

y^{^{'}} - y = e^{3 t}

Solution

y = \frac{e ^{3 t}}{2} + c_{1} e^{t}

Solution steps

y^{'} (t) - y = e^{3 t}

Solve linear ODE:

y = \frac{e ^{3 t}}{2} + c_{1} e^{t}

y = \frac{e ^{3 t}}{2} + c_{1} e^{t}

Popular Examples

(\partial)/(\partial z)((x+y)/(y+z))

\frac{\partial}{\partial z} (\frac{x + y}{y + z})

y^'=(x-4)e^{-2y}

y^{^{'}} = (x - 4) e^{- 2 y}

derivative of (-2x^2+8/(sqrt(8-x^2)))

\frac{d}{d x} (\frac{- 2 x ^{2} + 8}{8 - x ^{2}})

integral from 0 to pi/6 of sec(x)

\int_{0}^{\frac{π}{6}} sec (x) d x

limit as x approaches-1 of 1/(-x-1)

x \to - 1 lim (\frac{1}{- x - 1})

Frequently Asked Questions (FAQ)

What is the solution for y^'-y=e^{3t} ?
The solution for y^'-y=e^{3t} is y=(e^{3t})/2+c_{1}e^t