y^{''}-3y^'-4y=6e^{2t}

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 6 e^{2 t}

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

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 6 e^{2 t}

Solve linear ODE:

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

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

x \to 0 + lim (\frac{3 x e ^{2 x}}{sin ( 6 x )})

x \to + 0 lim ((1 - 2 x)^{\frac{3}{x}})

\frac{d}{d x} (b x^{2} (x - 4))

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} + 3})

x \to 1 lim (10 x + 1)