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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{9}{260} e^{- 2 x} sin (2 x) + \frac{7}{260} e^{- 2 x} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{9}{260} e^{- 2 x} sin (2 x) + \frac{7}{260} e^{- 2 x} cos (2 x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{9}{260} e^{- 2 x} sin (2 x) + \frac{7}{260} e^{- 2 x} cos (2 x)

Graph

Beliebte Beispiele

x^{''}+2.5x^'+50x=1.5cos(t)

x^{^{''}} + 2.5 x^{^{'}} + 50 x = 1.5 cos (t)

y^{''}-4y=1-cos(t),y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = 1 - cos (t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + y = b x

y^{''}-8y^'+15y=9xe^{2x}

y^{^{''}} - 8 y^{^{'}} + 15 y = 9 x e^{2 x}

y^{''}+2y^'+y=4sqrt(x)

y^{^{''}} + 2 y^{^{'}} + y = 4 x