Sentence examples for express the solution from inspiring English sources

to express the solution u ( x, t ).

We express the solution of this differential equation in terms of an elliptic integral.

We express the solution in terms of the solutions of two problems concerning the deformation of a right cylinder.

Elementary methods of DE solutions express the solution in special elementary functions – polynomials (e.g. Bessel's functions, Fourier's or power series).

Equation 35 can be expanded to express the solution in terms of χ by substituting ψ with η3(χ+η3).

and we can express the solution of the second problem (4.23) via the solution of the first problem.

A solution of (1.1 - 1.3 1.1 - 1.3d a sisilarity solution and called used to express the solutions of the 3D system.

The periodicity introduced by the parallel distribution of rib-stiffeners is considered by utilizing the space harmonic series to express the solutions.

Next, we express the solutions of wave Eq. (16a) in terms of the known ψ in the form: {F}_O z)={left(frac{dphi (z)}{dz}right)}^{-frac{1}{2}}psi left phi (z right), (18).

However, this was not valid for this assignment because the numerical expression did not express the story, but expressed the solution to evaluate the unknown number.

By expressing the solution in terms of mid-surface variables, exact 2D equations are obtained for the rectangular interior plate.