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Beliebt Rechnen >

y^{''}-4y=14cos(2x)+21sin(2x)

Lösung

y^{^{''}} - 4 y = 14 cos (2 x) + 21 sin (2 x)

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{21}{8} sin (2 x) - \frac{7}{4} cos (2 x)

Schritte zur Lösung

y^{''} (x) - 4 y = 14 cos (2 x) + 21 sin (2 x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{21}{8} sin (2 x) - \frac{7}{4} cos (2 x)

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{21}{8} sin (2 x) - \frac{7}{4} cos (2 x)

Graph

Beliebte Beispiele

y^{''}+5y^'+6y=-5-e^x

y^{^{''}} + 5 y^{^{'}} + 6 y = - 5 - e^{x}

y^{''}+3y^'+9y=8sin(6t)

y^{^{''}} + 3 y^{^{'}} + 9 y = 8 sin (6 t)

y^{''}-y^'+0.25y=3+e^{x/2}

y^{^{''}} - y^{^{'}} + 0.25 y = 3 + e^{\frac{x}{2}}

y^{''}+2y^'-3y=8xe^x

y^{^{''}} + 2 y^{^{'}} - 3 y = 8 x e^{x}

10y^{''}+1000y=140cos(8t),y(0)=0,y^'(0)=0

10 y^{^{''}} + 1000 y = 140 cos (8 t), y (0) = 0, y^{^{'}} (0) = 0