(dv)/(dt)=sqrt(2v)

Lösung

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

v = \frac{t ^{2}}{2} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

v = \frac{t ^{2}}{2} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

v = \frac{t ^{2}}{2} + \frac{c _{1} t}{2} + \frac{c _{1}^{2}}{4}

(y - 2) y^{^{'}} = 3 x - 5

e^{(y^{2})} d x + x^{2} y d y = 0

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

2 x y y^{^{'}} - 2 x^{2} + 1 = 0

x y^{^{'}} - y ln (y) = 0