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Popular >

(dv)/(dt)=5-2*v

Solution

\frac{d v}{d t} = 5 - 2 \cdot v

Solution

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

Solution steps

\frac{d v}{d t} = 5 - 2 \cdot v

Solve separable ODE:

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

Graph

Popular Examples

(dy)/(dx)x=y^2-y

\frac{d y}{d x} x = y^{2} - y

y^'=-(2t(y^2+1))/y ,y(0)=1

y^{^{'}} = - \frac{2 t ( y ^{2} + 1 )}{y}, y (0) = 1

ty+y^2+(t^2+ty)(dy)/(dt)=0

t y + y^{2} + (t^{2} + t y) \frac{d y}{d t} = 0

y^'+y=2,y(-2)=1

y^{^{'}} + y = 2, y (- 2) = 1

(df)/(dx)=-4xf(x)(x)^2

\frac{df}{d x} = - 4 x f (x) (x)^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=5-2*v ?
The solution for (dv)/(dt)=5-2*v is v=-(e^{-2t-c_{1}})/2+5/2