(dy)/(dt)=2y,y(9)=4

Lösung

\frac{d y}{d t} = 2 y, y (9) = 4

y = 4 e^{2 t - 18}

Schritte zur Lösung

\frac{d y}{d t} = 2 y

Solve separable ODE:

y = 4 e^{2 t - 18}

y = 4 e^{2 t - 18}

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

\frac{d P}{d t} = 1.1 P (1 - \frac{P}{5000})

x^{^{'}} = x^{2} \cdot \frac{1}{2}

y^{^{'}} + 16 x y = x

\frac{d y}{d x} = y - \frac{y ^{2}}{3}