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Popular >

(dv)/(dt)+2v=9

Solution

\frac{d v}{d t} + 2 v = 9

Solution

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{9}{2}

Solution steps

\frac{d v}{d t} + 2 v = 9

Solve separable ODE:

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{9}{2}

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{9}{2}

Graph

Popular Examples

(dz)/(dt)+e^{2t+2z}=0

\frac{d z}{d t} + e^{2 t + 2 z} = 0

(dy)/(dx)=4x^6sqrt(y)

\frac{d y}{d x} = 4 x^{6} y

(dy)/(dx)=(5x^2)/(8y^2)

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(dy)/(dx)=xy^2e^x,y(0)=2

\frac{d y}{d x} = x y^{2} e^{x}, y (0) = 2

(dy)/(dx)=(x^2-1)/(y^2),y(0)=2

\frac{d y}{d x} = \frac{x ^{2} - 1}{y ^{2}}, y (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)+2v=9 ?
The solution for (dv)/(dt)+2v=9 is v=-(e^{-2t-c_{1}})/2+9/2