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

Lösung

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

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

\frac{d y}{d t} = \frac{3 t ^{2} + 4 t + 2}{2 ( y - 1 )}

2 y + 3 + (2 x - 4) y^{^{'}} = 0

\frac{d y}{d t} = - 7 y

\frac{d y}{d x} = \frac{ln ( x )}{y}

y^{^{'}} + \frac{1}{x} y = y