y^'=(x^3)/y

Lösung

y^{^{'}} = \frac{x ^{3}}{y}

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

Schritte zur Lösung

y^{'} (x) = \frac{x ^{3}}{y}

Solve separable ODE:

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

\frac{d y}{d x} = e^{- y} (2 x - 4)

4 y^{^{'}} + 6 y = 120, y (0) = 1

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

2 y^{2} y^{^{'}} = 3 e^{2 x}

\frac{d y}{d x} = 0.02 y + 40000, y (0) = 2000000