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Beliebt Rechnen >

y^{''}-4y=6cos(3x+30)

Lösung

y^{^{''}} - 4 y = 6 cos (3 x + 3 0^{\circ})

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{6}{13} cos (3 x + 3 0^{\circ})

Schritte zur Lösung

y^{''} (x) - 4 y = 6 cos (3 x + 3 0^{\circ})

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{6}{13} cos (3 x + 3 0^{\circ})

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - \frac{6}{13} cos (3 x + 3 0^{\circ})

Graph

Beliebte Beispiele

y^{'''}+y^{''}+y^'=e^x

y^{^{'''}} + y^{^{''}} + y^{^{'}} = e^{x}

y^{''}-8y^'+16y=2e^{4x}+3cos(4x)-2x+1

y^{^{''}} - 8 y^{^{'}} + 16 y = 2 e^{4 x} + 3 cos (4 x) - 2 x + 1

x^{''}-6x^'+9x=5te^{3t}

x^{^{''}} - 6 x^{^{'}} + 9 x = 5 t e^{3 t}

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

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

y^{''}-3y^'+7y=t^2+cos(t)

y^{^{''}} - 3 y^{^{'}} + 7 y = t^{2} + cos (t)