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Beliebt Rechnen >

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

Lösung

linear

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=e^{2t}

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{2 t}

(D^4-1)*y=sin(2x)

(D^{4} - 1) \cdot y = sin (2 x)

y^{''}+y^'-7y=42t

y^{^{''}} + y^{^{'}} - 7 y = 42 t

y^{''}+y=2,y(0)=2,y(0)=0

y^{^{''}} + y = 2, y (0) = 2, y (0) = 0

y^{''}-6y^'-9y=x^2+e^x

y^{^{''}} - 6 y^{^{'}} - 9 y = x^{2} + e^{x}