(dv)/(dt)=sqrt(9.8v)

Lösung

\frac{d v}{d t} = 9.8 v

v = 2.45 t^{2} + 1.56524 \dots c_{1} t + 0.25 c_{1}^{2}

Schritte zur Lösung

\frac{d v}{d t} = 9.8 v

Solve separable ODE:

v = 2.45 t^{2} + 1.56524 \dots c_{1} t + 0.25 c_{1}^{2}

v = 2.45 t^{2} + 1.56524 \dots c_{1} t + 0.25 c_{1}^{2}

y^{3} d y = x d x

x^{2} y - x y^{^{'}} + y = 0

y^{^{'}} + \frac{1}{2 t y} = 0

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

2 y e^{y^{2}} y^{^{'}} = 2 x + 3 x