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

Lösung

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

x = - \frac{2}{y ^{2} + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

x = - \frac{2}{y ^{2} + c _{1}}

x = - \frac{2}{y ^{2} + c _{1}}

\frac{d y}{d x} = 50 (y - 10000)

x \cdot y^{^{'}} = 4 y

y^{^{'}} = y^{2} x^{8}

y^{^{'}} = 7 y^{- 4}, y (2) = 5

\frac{d P}{d t} = 2 Pt, P (1) = 7