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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

(d^2y)/(dx^2)+y=x^2

4y^{''}-y=e^{x/2}+7

y^{''}+6y^'+13y=e^{-3x}cos(2x)

y^{''}+y^'-6y=2x^2+1