(dy)/(dx)+y=yxe^{x+7}

Lösung

\frac{d y}{d x} + y = y x e^{x + 7}

y = e^{e^{7 + x} x - e^{7 + x} - x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} + y = y x e^{x + 7}

Solve separable ODE:

y = e^{e^{7 + x} x - e^{7 + x} - x + c_{1}}

y = e^{e^{7 + x} x - e^{7 + x} - x + c_{1}}

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

\frac{d y}{d t} = 0.18 y - k

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

y^{^{'}} \cdot e^{x + y} - x = 0

y^{^{'}} = y + \frac{y}{x ln ( x )}, y (e) = 1