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Beliebt Rechnen >

y^{''}+4y=cos(x),y(pi)=0,y(0)=0

Lösung

y^{^{''}} + 4 y = cos (x), y (π) = 0, y (0) = 0

Lösung

y = \frac{1}{3} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{3} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} cos (x)

y = \frac{1}{3} cos (2 x) + c_{2} sin (2 x) + \frac{1}{3} cos (x)

Graph

Beliebte Beispiele

x^{''}+9x=2sin(t)

x^{^{''}} + 9 x = 2 sin (t)

y^{^{''}} + 2 y^{^{'}} = 2

y^{^{''}} + 2 y^{^{'}} = 7

y^{'''}-y^{''}-y^'+y=(1+e^{-x})

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = (1 + e^{- x})

(D^2+D+1)y=e^xsin(x)

(D^{2} + D + 1) y = e^{x} sin (x)