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Beliebt Rechnen >

y^{''}-6y^'+8y=3+e^{-2t}

Lösung

y^{^{''}} - 6 y^{^{'}} + 8 y = 3 + e^{- 2 t}

Lösung

y = c_{1} e^{4 t} + c_{2} e^{2 t} + \frac{3}{8} + \frac{1}{24} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 8 y = 3 + e^{- 2 t}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{2 t} + \frac{3}{8} + \frac{1}{24} e^{- 2 t}

y = c_{1} e^{4 t} + c_{2} e^{2 t} + \frac{3}{8} + \frac{1}{24} e^{- 2 t}

Graph

Beliebte Beispiele

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

\frac{d ^{2} y}{d x ^{2}} - y = cosh (x) + x

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

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

y^{''''}+8y^{''}+16y=64+cos(4t)

y^{^{''''}} + 8 y^{^{''}} + 16 y = 64 + cos (4 t)

(d^2x)/(dt^2)+25x=30cos(6t)

\frac{d ^{2} x}{d t ^{2}} + 25 x = 30 cos (6 t)

y^{''}-6y^'+5y=3x+e^x,y(0)=0,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 5 y = 3 x + e^{x}, y (0) = 0, y^{^{'}} (0) = 2