(dy)/(dx)=3y^{2/3},y(2)=0

Lösung

\frac{d y}{d x} = 3 y^{\frac{2}{3}}, y (2) = 0

y = x^{3} - 6 x^{2} + 12 x - 8

Schritte zur Lösung

\frac{d y}{d x} = 3 y^{\frac{2}{3}}

Solve separable ODE:

y = x^{3} - 6 x^{2} + 12 x - 8

y = x^{3} - 6 x^{2} + 12 x - 8

y y^{^{'}} = e^{2 x} + 1

\frac{d y}{d x} = - 4 e^{2 x} y^{2}, y (0) = 1

y = x^{3} e^{- 2 x} cos (3 x) \frac{d y}{d x}

x^{2} \cdot y^{^{'}} = y

8 y y^{^{'}} = x, y (8) = 6