258
8 Solving Ordinary Differential Equations
Fig. 8.28 General oscillating system
Fig. 8.29 A pendulum with forces
This equation is, however, more commonly reordered to
mu
+ f (u
) + s(u) = F (t) .
(8.66)
Because the differential equation is of second order, due to the term u , we need
two initial conditions:
u(0) = U 0 , u
(0) = V 0 .
(8.67)
8 Solving Ordinary Differential Equations
Fig. 8.28 General oscillating system
Fig. 8.29 A pendulum with forces
This equation is, however, more commonly reordered to
mu
+ f (u
) + s(u) = F (t) .
(8.66)
Because the differential equation is of second order, due to the term u , we need
two initial conditions:
u(0) = U 0 , u
(0) = V 0 .
(8.67)