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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-5y^'-24y=(t+1)e^t

y^{^{''}} - 5 y^{^{'}} - 24 y = (t + 1) e^{t}

5y^{''}+y^'=-4x,y(0)=0,y^'(0)=-25

5 y^{^{''}} + y^{^{'}} = - 4 x, y (0) = 0, y^{^{'}} (0) = - 25

3y^{''}+2y^'-y=23

3 y^{^{''}} + 2 y^{^{'}} - y = 23

y^{''}-y^'-6y=45cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 45 cos (3 x)

y^{''}+4y^'+3y=8e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 3 y = 8 e^{- 2 x}