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Beliebt Rechnen >

y^{''}+16y=8sec(4x)

Lösung

y^{^{''}} + 16 y = 8 sec (4 x)

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{1}{2} ln (cos (4 x)) cos (4 x) + 2 x sin (4 x)

Schritte zur Lösung

y^{''} (x) + 16 y = 8 sec (4 x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{1}{2} ln (cos (4 x)) cos (4 x) + 2 x sin (4 x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{1}{2} ln (cos (4 x)) cos (4 x) + 2 x sin (4 x)

Graph

Beliebte Beispiele

y^{''}+3y=3t^3,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y = 3 t^{3}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+y=3sin(2t)+2tcos(2t)

y^{^{''}} + y = 3 sin (2 t) + 2 t cos (2 t)

y^{''}-16y=sinh(4x)

y^{^{''}} - 16 y = sinh (4 x)

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

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

x^{''}+4x=sin^2(2t)

x^{^{''}} + 4 x = sin^{2} (2 t)