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Beliebt Rechnen >

y^{''''}+2y^{''}+y=3+cos(2x)

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (2 x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + 3 + \frac{1}{9} cos (2 x)

Schritte zur Lösung

y^{(4)} (x) + 2 y^{''} (x) + y = 3 + cos (2 x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + 3 + \frac{1}{9} cos (2 x)

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + 3 + \frac{1}{9} cos (2 x)

Graph

Beliebte Beispiele

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

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

x^{''}+16x^'+80x=e^{-8t}

x^{^{''}} + 16 x^{^{'}} + 80 x = e^{- 8 t}

y^{''}+2y^'-y=t^{-1}*e^t

y^{^{''}} + 2 y^{^{'}} - y = t^{- 1} \cdot e^{t}

y^{''}-2y^'+5y=2x+e^{-x}

y^{^{''}} - 2 y^{^{'}} + 5 y = 2 x + e^{- x}

x^{''}-x^'-12x=e^{4t},x(0)=1,x^'(0)=0

x^{^{''}} - x^{^{'}} - 12 x = e^{4 t}, x (0) = 1, x^{^{'}} (0) = 0