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Beliebt Rechnen >

3y^{''}+27y=2cos(3x)

Lösung

3 y^{^{''}} + 27 y = 2 cos (3 x)

Lösung

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

Schritte zur Lösung

3 y^{''} (x) + 27 y = 2 cos (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(3 D^{2} + 3) y = 3 x

y^{''}+3y^'+2y=3cos(2t),y(0)=1,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} + 2 y = 3 cos (2 t), y (0) = 1, y^{^{'}} (0) = 1

y^{''}+y=3cos(t)

y^{^{''}} + y = 3 cos (t)

y^{''}-16y=sin(2x)-3cos(2x)

y^{^{''}} - 16 y = sin (2 x) - 3 cos (2 x)

y^{''}-6y^'+9y=e^{3x}log_{e}(1+x^2)

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3 x} lo g_{e} (1 + x^{2})