y^{''}+4y=8sin(t)

Lösung

y^{^{''}} + 4 y = 8 sin (t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{8}{3} sin (t)

Schritte zur Lösung

y^{''} (t) + 4 y = 8 sin (t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{8}{3} sin (t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{8}{3} sin (t)

y^{^{''}} + 3 y^{^{'}} + 2 y = 30 e^{2 x}

y^{^{''}} - 2 y^{^{'}} + y = sin (x)

y^{^{''}} - 3 y^{^{'}} + 2 y = sin (x)

y^{^{''}} - y = tan (x)

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