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Beliebt Rechnen >

y^{''}+2y^'-8y=e^{2t}+5t

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = e^{2 t} + 5 t

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + \frac{e ^{2 t} t}{6} - \frac{5 t}{8} - \frac{5}{32}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 8 y = e^{2 t} + 5 t

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + \frac{e ^{2 t} t}{6} - \frac{5 t}{8} - \frac{5}{32}

y = c_{1} e^{2 t} + c_{2} e^{- 4 t} + \frac{e ^{2 t} t}{6} - \frac{5 t}{8} - \frac{5}{32}

Graph

Beliebte Beispiele

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

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

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

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

(D^2-4D+13)y=24e^{2x}*cos(3x)

(D^{2} - 4 D + 13) y = 24 e^{2 x} \cdot cos (3 x)

(d^2y)/(dx^2)-2(dy)/(dx)+y=xe^x

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

y^{''}+36y=11sec^2(6t)

y^{^{''}} + 36 y = 11 sec^{2} (6 t)