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Beliebt Rechnen >

(D^2-D-2)y=6e^{(-t)/2}

Lösung

(D^{2} - D - 2) y = 6 e^{\frac{- t}{2}}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{24}{5} e^{- \frac{t}{2}}

Schritte zur Lösung

(D^{2} - D - 2) y = 6 e^{\frac{- t}{2}}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{24}{5} e^{- \frac{t}{2}}

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{24}{5} e^{- \frac{t}{2}}

Graph

Beliebte Beispiele

y^{''}+y^'=2sin(t),y(0)=0,y^'(0)=-4

y^{^{''}} + y^{^{'}} = 2 sin (t), y (0) = 0, y^{^{'}} (0) = - 4

y^{''}+5y^'-6y=e^{2x}

y^{^{''}} + 5 y^{^{'}} - 6 y = e^{2 x}

(d^2y)/(dx^2)-4(dy)/(dx)-5y=5x

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 5 x

2y^{''}+50y=2cos^2(5x)

2 y^{^{''}} + 50 y = 2 cos^{2} (5 x)

y^{''}-y^'-3/4 y=cos(2t)

y^{^{''}} - y^{^{'}} - \frac{3}{4} y = cos (2 t)