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Beliebt Rechnen >

y^{''}-2y^'-3y=24te^{2t}

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 24 t e^{2 t}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - 8 t e^{2 t} - \frac{16}{3} e^{2 t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 24 t e^{2 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - 8 t e^{2 t} - \frac{16}{3} e^{2 t}

y = c_{1} e^{3 t} + c_{2} e^{- t} - 8 t e^{2 t} - \frac{16}{3} e^{2 t}

Graph

Beliebte Beispiele

y^{''}-y^'-6y=-468sin(3t)

y^{^{''}} - y^{^{'}} - 6 y = - 468 sin (3 t)

3y^{''}-4y^'+y=5

3 y^{^{''}} - 4 y^{^{'}} + y = 5

y^{''}-4y^'+4y=e^{-x}(9x^2-3x-4)

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- x} (9 x^{2} - 3 x - 4)

y^{''}+4y^'+3y=64e^t,y(0)=4,y^'(0)=7

y^{^{''}} + 4 y^{^{'}} + 3 y = 64 e^{t}, y (0) = 4, y^{^{'}} (0) = 7

x^{''}+x^'+2x=sin(t)

x^{^{''}} + x^{^{'}} + 2 x = sin (t)