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Beliebt Rechnen >

y^{''''}+3y^{'''}-4y^{''}-4y^'+1/2 =0

Lösung

y^{^{''''}} + 3 y^{^{'''}} - 4 y^{^{''}} - 4 y^{^{'}} + \frac{1}{2} = 0

Lösung

y = c_{1} + c_{2} e^{- 0.71083 \dots t} + c_{3} e^{1.48928 \dots t} + c_{4} e^{- 3.77845 \dots t} + \frac{t}{8}

Schritte zur Lösung

y^{(4)} (t) + 3 y^{'''} (t) - 4 y^{''} (t) - 4 y^{'} (t) + \frac{1}{2} = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 0.71083 \dots t} + c_{3} e^{1.48928 \dots t} + c_{4} e^{- 3.77845 \dots t} + \frac{t}{8}

y = c_{1} + c_{2} e^{- 0.71083 \dots t} + c_{3} e^{1.48928 \dots t} + c_{4} e^{- 3.77845 \dots t} + \frac{t}{8}

Graph

Beliebte Beispiele

y^{''}-5y^'-6y=-6e^t

y^{^{''}} - 5 y^{^{'}} - 6 y = - 6 e^{t}

y^{''}-4y=e^{2x},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = e^{2 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-3y^'-28y=1056e^{-t}

y^{^{''}} - 3 y^{^{'}} - 28 y = 1056 e^{- t}

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

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

y^{''}+6y^'+18y=11te^{4t}

y^{^{''}} + 6 y^{^{'}} + 18 y = 11 t e^{4 t}