y^{''}+4y^'+4y=3e^{-2x}

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 e^{- 2 x}

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 4 y = 3 e^{- 2 x}

Solve linear ODE:

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

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

\int \frac{6 x ^{3} + 4 x ^{2} - 45 x - 33}{x ^{2} - 9} d x

a re a x + 7, 0.5 (x + 7)

\int_{1}^{3} (4 x - x^{2}) d x

\int \frac{1}{x ^{2} + 2 x + 122} d x

l c m \frac{csc ^{2} ( x )}{4}, 4 sin^{2} (x)