(dy)/(dx)=3x^2y-y

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

x^{2} \frac{d y}{d x} - y^{2} = 1

\frac{d y}{d x} = \frac{y ^{2}}{x}, y (1) = \frac{1}{3}

\frac{d v}{d t} + v + v^{2} = 0

y y^{^{'}} = x 1 - y^{2}

d v = cos (x) d x