(dy)/(dx)=8xy-12x^2y

Lösung

\frac{d y}{d x} = 8 x y - 12 x^{2} y

y = e^{4 (- x^{3} + x^{2}) + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = 8 x y - 12 x^{2} y

Solve separable ODE:

y = e^{4 (- x^{3} + x^{2}) + c_{1}}

y = e^{4 (- x^{3} + x^{2}) + c_{1}}

x^{2} + 1 d x - 3 y d y = 0

x^{^{'}} = x^{2} t

y \cdot d x = (- 1 + x) d y

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

\frac{d x}{d y} = e^{x}