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Beliebt Rechnen >

y^{''}-2y^'-3y=3t^2+4t-5

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 t^{2} + 4 t - 5

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + 1

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 3 t^{2} + 4 t - 5

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + 1

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + 1

Graph

Beliebte Beispiele

y^{''}-y=7.1cos(t),y(0)=0,y^'(0)=7.1

y^{^{''}} - y = 7.1 cos (t), y (0) = 0, y^{^{'}} (0) = 7.1

y^{''}-4y^'+3y=8e^x

y^{^{''}} - 4 y^{^{'}} + 3 y = 8 e^{x}

y^{''}+3y=t^3,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y = t^{3}, y (0) = 0, y^{^{'}} (0) = 0

y^{'''}+2y^'-y^'-2y=sin(3t)

y^{^{'''}} + 2 y^{^{'}} - y^{^{'}} - 2 y = sin (3 t)

(D^2+1)y=sec^2(x)

(D^{2} + 1) y = sec^{2} (x)