(dy)/(dx)-y/x =xe^x

Lösung

\frac{d y}{d x} - \frac{y}{x} = x e^{x}

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

Schritte zur Lösung

\frac{d y}{d x} - \frac{y}{x} = x e^{x}

Solve linear ODE:

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

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

\int \frac{x ^{2}}{x ^{2} - x + 1} d x

\frac{d}{d x} (A \cdot e^{x})

d er i v a t i v e f (x) = \frac{x ^{5}}{5} - \frac{4 x ^{3}}{3} + 4 x

t an g e n t f (x) = 7 e^{- 0.03 x}, at x = 9

d er i v a t i v e y = \frac{( 3 x - 9 )}{( 2 x + 8 )}