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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{9}{130} sin (3 x) - \frac{33}{130} cos (3 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{9}{130} sin (3 x) - \frac{33}{130} cos (3 x)

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{9}{130} sin (3 x) - \frac{33}{130} cos (3 x)

Graph

Beliebte Beispiele

25y^{''}-10y^'-2y=4e^t

25 y^{^{''}} - 10 y^{^{'}} - 2 y = 4 e^{t}

y^{''}+0.5y^'+y=cos(t)

y^{^{''}} + 0.5 y^{^{'}} + y = cos (t)

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

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

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

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

(D+1)^3y=16(2x+3)^{-1}e^x

(D + 1)^{3} y = 16 (2 x + 3)^{- 1} e^{x}