x^2(dx)/(dt)=t+1

Lösung

x^{2} \frac{d x}{d t} = t + 1

x = 3 \frac{3 t ^{2}}{2} + 3 t + c_{1}

Schritte zur Lösung

x^{2} \frac{d x}{d t} = t + 1

Solve separable ODE:

x = 3 \frac{3 t ^{2}}{2} + 3 t + c_{1}

x = 3 \frac{3 t ^{2}}{2} + 3 t + c_{1}

2 x d x + 16 y d y = 0

\frac{d y}{d x} + 6 x^{2} y - 9 x^{2} = 0

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

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

y^{^{'}} = \frac{y}{x ^{2} + 1}