2y^{''}-y^'-y=6e^{-x/2}

Lösung

2 y^{^{''}} - y^{^{'}} - y = 6 e^{- \frac{x}{2}}

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

Schritte zur Lösung

2 y^{''} (x) - y^{'} (x) - y = 6 e^{- \frac{x}{2}}

Solve linear ODE:

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

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

\frac{d}{d x} (\frac{7}{x + 5})

y^{^{'}} = \frac{( x + y ) ^{2}}{2 x ^{2}}

t an g e n t f (x) = 3 x^{3} + 2 x^{2} + 1, at x = - 1

x \to - 2 - lim (\frac{- 3}{x + 2})

x \to 0 lim (ln (\frac{7}{x ^{2}}))