(dv)/(dt)=0.075v-9000

Lösung

\frac{d v}{d t} = 0.075 v - 9000

v = \frac{e ^{0.075 t + c_{1}}}{0.075} + \frac{9000}{0.075}

Schritte zur Lösung

\frac{d v}{d t} = 0.075 v - 9000

Solve separable ODE:

v = \frac{e ^{0.075 t + c_{1}}}{0.075} + \frac{9000}{0.075}

v = \frac{e ^{0.075 t + c_{1}}}{0.075} + \frac{9000}{0.075}

2 x d x + 2 y d y = 0

x^{2} (x d y + y d x) = 9 x d y - 9 y d x

\frac{d y}{d x} + 8 y = 0

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

y^{^{'}} + 2 y = 2, 6 sin (3 t) y (0) = 3