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Beliebt Rechnen >

y^{''}-y^'+64y=8sin(8t)

Lösung

y^{^{''}} - y^{^{'}} + 64 y = 8 sin (8 t)

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + cos (8 t)

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + 64 y = 8 sin (8 t)

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + cos (8 t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + cos (8 t)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=2x+4

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 x + 4

y^{''}+5y^'=x-2-3e^{2x}

y^{^{''}} + 5 y^{^{'}} = x - 2 - 3 e^{2 x}

x^{''}+3x^'+33x=8cos(5t)

x^{^{''}} + 3 x^{^{'}} + 33 x = 8 cos (5 t)

x^{''}+16x=cos(4t)

x^{^{''}} + 16 x = cos (4 t)

y^{''}-4y^'+4y=x^3e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{3} e^{2 x}