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Beliebt Rechnen >

x^{''}-x^'-6x=2e^{4t}

Lösung

x^{^{''}} - x^{^{'}} - 6 x = 2 e^{4 t}

Lösung

x = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

x = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

Graph

Beliebte Beispiele

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

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

y^{''}+25y=3x,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 3 x, y (0) = 1, y^{^{'}} (0) = 5

y^{'''}+7y^{''}+15y^'+9=1

y^{^{'''}} + 7 y^{^{''}} + 15 y^{^{'}} + 9 = 1

x^{''}+9x=8sin(3t)

x^{^{''}} + 9 x = 8 sin (3 t)

(d^2y)/(dx^2)-4y=10e^{3x}

\frac{d ^{2} y}{d x ^{2}} - 4 y = 10 e^{3 x}