y^'=(x+2)/(y^2)

Lösung

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

y = 3 \frac{3 x ^{2}}{2} + 6 x + c_{1}

Schritte zur Lösung

y^{'} (x) = \frac{x + 2}{y ^{2}}

Solve separable ODE:

y = 3 \frac{3 x ^{2}}{2} + 6 x + c_{1}

y = 3 \frac{3 x ^{2}}{2} + 6 x + c_{1}

y^{^{'}} = (y + 2)^{2}

\frac{d y}{d x} = 12 x y - 2 x

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

\frac{d y}{d x} + 9 x e^{y} = 0

\frac{d x}{d t} + \frac{x}{100} = 75, x (0) = 5000