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Beliebt Rechnen >

y^{''}+2y^'+2y=4e^{-x}sec^3(x)

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 4 e^{- x} sec^{3} (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + 2 y = 4 e^{- x} sec^{3} (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'=-4-6x

y^{^{''}} - 3 y^{^{'}} = - 4 - 6 x

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

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

1/2 x^{''}+1/2 x^'-6x=10cos(3t)

\frac{1}{2} x^{^{''}} + \frac{1}{2} x^{^{'}} - 6 x = 10 cos (3 t)

y^{''}+4y^'+4y=4x+5

y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x + 5

y^{''}+4y^'+4y=4x+6

y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x + 6