(dy)/(dx)=(x/y)^2

Lösung

\frac{d y}{d x} = (\frac{x}{y})^{2}

y = 3 x^{3} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = (\frac{x}{y})^{2}

Solve separable ODE:

y = 3 x^{3} + c_{1}

y = 3 x^{3} + c_{1}

\frac{d P}{d t} = 8 Pt

\frac{d x}{d t} = 60 - \frac{x}{100}, x = 5000, t = 0

y^{^{'}} - \frac{2 y}{x} = 0

y^{^{'}} = 4 y, y (0) = 1

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