(x+1)(dy)/(dx)+(x+2)y=8xe^{-x}

Lösung

(x + 1) \frac{d y}{d x} + (x + 2) y = 8 x e^{- x}

y = \frac{4 x ^{2}}{e ^{x} ( x + 1 )} + \frac{c _{1}}{e ^{x + c_{1}} x + e ^{x + c_{1}}}

Schritte zur Lösung

(x + 1) \frac{d y}{d x} + (x + 2) y = 8 x e^{- x}

Solve linear ODE:

y = \frac{4 x ^{2}}{e ^{x} ( x + 1 )} + \frac{c _{1}}{e ^{x + c_{1}} x + e ^{x + c_{1}}}

y = \frac{4 x ^{2}}{e ^{x} ( x + 1 )} + \frac{c _{1}}{e ^{x + c_{1}} x + e ^{x + c_{1}}}

\frac{\partial}{\partial x} (5 x^{3} y z^{2})

\int 3 x^{4} d x

\int_{- 1}^{2} x^{3} - 1 d x

x \to 0 lim (x^{4})

t an g e n t f (x) = 2 sin (x), (\frac{π}{6}, 1)