y^{''}-2y^'-3y=e^{-t}

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{- t}

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{- t} t}{4}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = e^{- t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{- t} t}{4}

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{- t} t}{4}

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

\int_{0}^{1} 11 x x^{2} + 36 d x

x y^{^{'}} + 2 y^{^{'}} - (x + 2) sin (x) + y = 0

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

in v erse l a pl a ce - \frac{e ^{(- 2 s)}}{( s ^{2} - 4 s + 4 )}