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Beliebt Rechnen >

y^{''}-y^'-6y=56cos(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 56 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{28}{39} sin (3 x) - \frac{140}{39} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 56 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{28}{39} sin (3 x) - \frac{140}{39} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{28}{39} sin (3 x) - \frac{140}{39} cos (3 x)

Graph

Beliebte Beispiele

(d^2+6d+10)y=3e^{-3x}x-2e^{3x}cos(x)

(d^{2} + 6 d + 10) y = 3 e^{- 3 x} x - 2 e^{3 x} cos (x)

(d^2-1)y=e^{-x}(2sin(x)+4cos(x))

(d^{2} - 1) y = e^{- x} (2 sin (x) + 4 cos (x))

2y^{''}+7y=-8/3 x

2 y^{^{''}} + 7 y = - \frac{8}{3} x

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

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

y^{'''}+y^'=-2sin(t)

y^{^{'''}} + y^{^{'}} = - 2 sin (t)