y^{''}-6y^'-7y=15e^{2t}

Lösung

y^{^{''}} - 6 y^{^{'}} - 7 y = 15 e^{2 t}

y = c_{1} e^{7 t} + c_{2} e^{- t} - e^{2 t}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) - 7 y = 15 e^{2 t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{- t} - e^{2 t}

y = c_{1} e^{7 t} + c_{2} e^{- t} - e^{2 t}

\int - \frac{5}{x ^{2}} d x

d er i v a t i v e \frac{4 4 q}{1 - q}

\frac{d y}{d x} + y = 2 x

\frac{\partial}{\partial y} (\frac{4 y}{x ^{5}})

t an g e n t f (x) = 3 x^{4} - x^{3} - 5 x^{2} + 7, at x = 3