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Beliebt Rechnen >

(D^4-2D^2+1)Y=cos(x)

Lösung

(D^{4} - 2 D^{2} + 1) Y = cos (x)

Lösung

Y (x) = c_{1} e^{x} + c_{2} x e^{x} + c_{3} e^{- x} + c_{4} x e^{- x} + \frac{1}{4} cos (x)

Schritte zur Lösung

(D^{4} - 2 D^{2} + 1) Y (x) = cos (x)

Solve linear ODE:

Y (x) = c_{1} e^{x} + c_{2} x e^{x} + c_{3} e^{- x} + c_{4} x e^{- x} + \frac{1}{4} cos (x)

Y (x) = c_{1} e^{x} + c_{2} x e^{x} + c_{3} e^{- x} + c_{4} x e^{- x} + \frac{1}{4} cos (x)

Graph

Beliebte Beispiele

D(D^2+1)y=sin(x)

D (D^{2} + 1) y = sin (x)

y^{'''}-2y^{''}-5y^'+6y=2e^x(1-6x)

y^{^{'''}} - 2 y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e^{x} (1 - 6 x)

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

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

x^{''}+3x^'+33x=11cos(5t)

x^{^{''}} + 3 x^{^{'}} + 33 x = 11 cos (5 t)

y^{''}+10y^'+16y=12cos(2x)+4sin(2x)

y^{^{''}} + 10 y^{^{'}} + 16 y = 12 cos (2 x) + 4 sin (2 x)