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Beliebt Rechnen >

x^{''''}-x^{''}=1

Lösung

x^{^{''''}} - x^{^{''}} = 1

Lösung

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

Schritte zur Lösung

x^{(4)} (t) - x^{''} (t) = 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'+y=3e^t,y(0)=1,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + y = 3 e^{t}, y (0) = 1, y^{^{'}} (0) = 1

y^{''}-4y^'-5y=125

y^{^{''}} - 4 y^{^{'}} - 5 y = 125

y^{^{''}} + 4 y = 4

y^{''}+y^'-12y=2cos(t),y(0)=1,y^'(0)=1

y^{^{''}} + y^{^{'}} - 12 y = 2 cos (t), y (0) = 1, y^{^{'}} (0) = 1

y^{'''}+8y=2x-5+8e^{-2x}

y^{^{'''}} + 8 y = 2 x - 5 + 8 e^{- 2 x}