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Beliebt Rechnen >

y^{''}+6y^'+9y=6xe^{-3x}+9+50sin(x)

Lösung

y^{^{''}} + 6 y^{^{'}} + 9 y = 6 x e^{- 3 x} + 9 + 50 sin (x)

Lösung

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + e^{- 3 x} x^{3} + 1 + 4 sin (x) - 3 cos (x)

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) + 9 y = 6 x e^{- 3 x} + 9 + 50 sin (x)

Solve linear ODE:

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + e^{- 3 x} x^{3} + 1 + 4 sin (x) - 3 cos (x)

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + e^{- 3 x} x^{3} + 1 + 4 sin (x) - 3 cos (x)

Graph

Beliebte Beispiele

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

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

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

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

x^{''}+9x=5sin(3t)

x^{^{''}} + 9 x = 5 sin (3 t)

y^{''}-4y=(x^2-7)sin(2x)

y^{^{''}} - 4 y = (x^{2} - 7) sin (2 x)

y^{''}-36y=sinh(6x)

y^{^{''}} - 36 y = sinh (6 x)