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Beliebt Rechnen >

y^{''}-y^'-6y=69cos(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 69 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{23}{26} sin (3 x) - \frac{115}{26} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 69 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{23}{26} sin (3 x) - \frac{115}{26} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{23}{26} sin (3 x) - \frac{115}{26} cos (3 x)

Graph

Beliebte Beispiele

(d^3y)/(dx^3)+(dy)/(dx)=e^x

\frac{d ^{3} y}{d x ^{3}} + \frac{d y}{d x} = e^{x}

y^{''}-5y^'+6y=2x+1

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 x + 1

4x^{''}+x=t^2+2cos(t)

4 x^{^{''}} + x = t^{2} + 2 cos (t)

y^{''}-4y+4=-5e^{3x}

y^{^{''}} - 4 y + 4 = - 5 e^{3 x}

x^{''}+4x=cos(4t)

x^{^{''}} + 4 x = cos (4 t)