(dy)/(dx)-24x^3y=0

Lösung

\frac{d y}{d x} - 24 x^{3} y = 0

y = e^{6 x^{4} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} - 24 x^{3} y = 0

Solve separable ODE:

y = e^{6 x^{4} + c_{1}}

y = e^{6 x^{4} + c_{1}}

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

y^{^{'}} = y (1 + x^{2})

e^{x} cos (y) d x - x e^{x} sin (y) d y = 0

y^{^{'}} + 9 y = 0, y (0) = 2

y^{^{'}} = \frac{2 x}{y + x ^{2} y}, y (0) = - 2