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Beliebt Rechnen >

4y^{''}+16y=sin(x)+2cos(x)

Lösung

4 y^{^{''}} + 16 y = sin (x) + 2 cos (x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{12} sin (x) + \frac{1}{6} cos (x)

Schritte zur Lösung

4 y^{''} (x) + 16 y = sin (x) + 2 cos (x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{12} sin (x) + \frac{1}{6} cos (x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{1}{12} sin (x) + \frac{1}{6} cos (x)

Graph

Beliebte Beispiele

y^{''}+y=xsin(x),y(0)=1,y^'(0)=0

y^{^{''}} + y = x sin (x), y (0) = 1, y^{^{'}} (0) = 0

y^{'''}-2y^{''}-y^'+2y=-8ex+6e-x

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = - 8 e x + 6 e - x

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

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

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

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

y^{^{''}} - y^{^{'}} = - 9