(dy)/(dx)=4xy-18x^2y

Lösung

\frac{d y}{d x} = 4 x y - 18 x^{2} y

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

Schritte zur Lösung

\frac{d y}{d x} = 4 x y - 18 x^{2} y

Solve separable ODE:

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

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

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

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

2 y y^{^{'}} = 9 t^{2}, y (0) = 8

y^{^{'}} = \frac{2 cos ( 2 x )}{3 + 2 y}

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