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Beliebt Rechnen >

y^{''}-4y^'+13y=24e^{2x}cos(3x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 13 y = 24 e^{2 x} cos (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 13 y = 24 e^{2 x} cos (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+y^{''}+y^'+y=2e^{-t}+3

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = 2 e^{- t} + 3

y^{''}+5y^'+4y=te^{-t}\H(t)

y^{^{''}} + 5 y^{^{'}} + 4 y = t e^{- t} H (t)

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

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

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)