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Beliebt Rechnen >

y^{''''}+2y^{''}+y=cos(3x)+5

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = cos (3 x) + 5

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{64} cos (3 x) + 5

Schritte zur Lösung

y^{(4)} (x) + 2 y^{''} (x) + y = cos (3 x) + 5

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{64} cos (3 x) + 5

y = c_{1} cos (x) + c_{2} sin (x) + x (c_{3} cos (x) + c_{4} sin (x)) + \frac{1}{64} cos (3 x) + 5

Graph

Beliebte Beispiele

y^{''}-y^'-2y=x,y(0)=1,y^'(0)=0

y^{^{''}} - y^{^{'}} - 2 y = x, y (0) = 1, y^{^{'}} (0) = 0

x^{''}-2x^'-3x=e^{4t}

x^{^{''}} - 2 x^{^{'}} - 3 x = e^{4 t}

y^{'''}-2y^{''}+y^'=-2e^x-3x

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = - 2 e^{x} - 3 x

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

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

y^{'''}-6y^'=3-cos(x)

y^{^{'''}} - 6 y^{^{'}} = 3 - cos (x)