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Beliebt Rechnen >

y^{''}+36y=24sin(6x)

Lösung

y^{^{''}} + 36 y = 24 sin (6 x)

Lösung

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 2 x cos (6 x)

Schritte zur Lösung

y^{''} (x) + 36 y = 24 sin (6 x)

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 2 x cos (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 2 x cos (6 x)

Graph

Beliebte Beispiele

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

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

2x^{''}+5x^'+2x=2e-2t-t

2 x^{^{''}} + 5 x^{^{'}} + 2 x = 2 e - 2 t - t

y^{''}+5y^'+6y=te^t

y^{^{''}} + 5 y^{^{'}} + 6 y = t e^{t}

x^{''}+2^2*x=3*cos(bt)

x^{^{''}} + 2^{2} \cdot x = 3 \cdot cos (b t)

y^{''}+36y=36sin(6t)

y^{^{''}} + 36 y = 36 sin (6 t)