(dy)/(dx)-x^3=x^3y

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y^{^{'}} = y^{2}, y (1) = 1

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

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

\frac{d y}{d x} + 5 x y = 8 x, y (0) = 4

y^{^{'}} = \frac{x ^{2} + 1}{2 - y}, y (- 3) = 4