1/y (dy)/(dx)=(1-2x)

Lösung

\frac{1}{y} \frac{d y}{d x} = (1 - 2 x)

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

Schritte zur Lösung

\frac{1}{y} \frac{d y}{d x} = (1 - 2 x)

Solve separable ODE:

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

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

\frac{d y}{d x} = e^{y}, y = 0, x = 1

x^{2} y^{^{'}} = (x + 7) y

y^{^{'}} - y^{2} e^{- 2 x} = 0

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

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