(x+1)(dy)/(dx)=2y

Lösung

(x + 1) \frac{d y}{d x} = 2 y

y = e^{c_{1}} x^{2} + 2 e^{c_{1}} x + e^{c_{1}}

Schritte zur Lösung

(x + 1) \frac{d y}{d x} = 2 y

Solve separable ODE:

y = e^{c_{1}} x^{2} + 2 e^{c_{1}} x + e^{c_{1}}

y = e^{c_{1}} x^{2} + 2 e^{c_{1}} x + e^{c_{1}}

\frac{d v}{d t} = - 0.4 \cdot v

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

y^{^{'}} = x^{3} e^{- y}

y^{^{'}} = y^{2} + 4

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