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Popular >

(dv)/(dt)=3-4v

Solution

\frac{d v}{d t} = 3 - 4 v

Solution

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{3}{4}

Solution steps

\frac{d v}{d t} = 3 - 4 v

Solve separable ODE:

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{3}{4}

v = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{3}{4}

Popular Examples

y^'=y(5-y)-25/4 ,y(0)=a

y^{^{'}} = y (5 - y) - \frac{25}{4}, y (0) = a

a^2(dy-dx)=x^2dy+y^2dx

a^{2} (d y - d x) = x^{2} d y + y^{2} d x

y(dy)/(dx)= 1/(sqrt(1-y^2))

y \frac{d y}{d x} = \frac{1}{1 - y ^{2}}

sin(3x)dx+2ycos(3x)dy=0

sin (3 x) d x + 2 y cos (3 x) d y = 0

y^{^{'}} tan (x) = y

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=3-4v ?
The solution for (dv)/(dt)=3-4v is v=-(e^{-4t-c_{1}})/4+3/4