Sentence examples for the particular solution from inspiring English sources

Thus, the spreading of a small drop of ink is rather closely described by the particular solution, in which C is a constant determined by the total number of particles in the ink drop.

In general, as with the condensation of sulfur atoms or with the crystalline transitions in silicon, the symmetry implicit in the formulation of the theory will be maintained only in the totality of possible solutions, not necessarily in the particular solution that appears in practice.

We seek the particular solution in the following form: (3.20).

If the particular solution is asymptotically almost periodic, then system (1.1) has an almost periodic solution.

We stress that by (3.8), the particular solution of (3.1) belongs to.

Finally, if the particular solution is, we will prove that system (1.1) has a periodic solution.

represent the particular solutions of system (9).

Moreover, the particular solutions of Poisson's equation on the polygon is also provided.

At first, the particular solutions using polynomial basis functions are derived analytically.

Consider the particular solutions of ODE (4.3) such that (c_{1}=1) and (c_{2}=-1).

In this case, to find the particular solutions of equation (3) we will use the following theorem.