(dy)/(dt)=20sqrt(y)

Lösung

\frac{d y}{d t} = 20 y

y = 100 t^{2} + 10 c_{1} t + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d t} = 20 y

Solve separable ODE:

y = 100 t^{2} + 10 c_{1} t + \frac{c _{1}^{2}}{4}

y = 100 t^{2} + 10 c_{1} t + \frac{c _{1}^{2}}{4}

y^{^{'}} e^{- y} = e^{t}

\frac{df}{d x} = - \frac{1}{f ( x )}

\frac{d x}{d t} = (1 + t) (1 - x)

\frac{d y}{3 y ^{2}} = t d t

\frac{y ^{^{'}}}{x} + 3 x y = x