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Beliebt Rechnen >

y^{''}-6y^'+9y=cos(x)

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = cos (x)

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} - \frac{3}{50} sin (x) + \frac{2}{25} cos (x)

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = cos (x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} - \frac{3}{50} sin (x) + \frac{2}{25} cos (x)

y = c_{1} e^{3 x} + c_{2} x e^{3 x} - \frac{3}{50} sin (x) + \frac{2}{25} cos (x)

Graph

Beliebte Beispiele

y^{''}-4y=cosh(2x)

y^{^{''}} - 4 y = cosh (2 x)

y^{''}-3y^'=8e^{3x}+4sin(x)

y^{^{''}} - 3 y^{^{'}} = 8 e^{3 x} + 4 sin (x)

y^{''}+5y^'+6y=18t^2

y^{^{''}} + 5 y^{^{'}} + 6 y = 18 t^{2}

y^{''}+3y^'+2y=e^t,y(0)=1,y^'(0)=-6

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{t}, y (0) = 1, y^{^{'}} (0) = - 6

y^{''}+2y^'+4y=111e^{2t}cos(3t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 111 e^{2 t} cos (3 t)