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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+6(dx)/(dt)-5x=e^{-t}

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} - 5 x = e^{- t}

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

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

y^{^{''}} - a y = - c

2x^{''}+4x^'-3=0

2 x^{^{''}} + 4 x^{^{'}} - 3 = 0

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

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