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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} + \frac{1}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} + \frac{1}{9}

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} + \frac{1}{9}

Graph

Beliebte Beispiele

4x^{''}+x=t^2+2cos(3t)

4 x^{^{''}} + x = t^{2} + 2 cos (3 t)

y^{''}+2y^'-8y=2e^{2x}

y^{^{''}} + 2 y^{^{'}} - 8 y = 2 e^{2 x}

y^{''}+y=cos(2t),y(0)=0,y^'(0)=1

y^{^{''}} + y = cos (2 t), y (0) = 0, y^{^{'}} (0) = 1

3y^{''}+y^'-2y=2cos(x)

3 y^{^{''}} + y^{^{'}} - 2 y = 2 cos (x)

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

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