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Beliebt Rechnen >

y^{''}+4y=-cos(3t)-2sin(3t)

Lösung

y^{^{''}} + 4 y = - cos (3 t) - 2 sin (3 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{2}{5} sin (3 t) + \frac{1}{5} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 4 y = - cos (3 t) - 2 sin (3 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{2}{5} sin (3 t) + \frac{1}{5} cos (3 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{2}{5} sin (3 t) + \frac{1}{5} cos (3 t)

Graph

Beliebte Beispiele

y^{'''}-4y^{''}+5y^'=40x-7-6e^{2x}

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} = 40 x - 7 - 6 e^{2 x}

y^{'''}=3y^{''}+9(e^{9x})+9(cos(x))

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{9 x}) + 9 (cos (x))

y^{''}-5y^'+6y=8e^{4x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 8 e^{4 x}

D^2(D-1)y=8e^{(2x)}

D^{2} (D - 1) y = 8 e^{(2 x)}

y^{''}-4y^'+4y=6e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = 6 e^{2 t}