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

Lösung

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

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

Schritte zur Lösung

\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}

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

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

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

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

y^{^{'}} + cos (t) y = 0