Sentence examples for analytically solved from inspiring English sources

The system of equations is analytically solved.

On the assumption of constant transmission rates, these equations can be analytically solved.

The model equations are analytically solved by using the Laplace transform with respect to time.

Considering six different sets of boundary conditions, this differential equation is analytically solved.

The involved coupled advection dispersion equations are analytically solved by the Laplace technique and numerically inverted.

The strength and stability conditions are formulated and analytically solved using mathematical equations.

The velocity profile inside each layer is such that the eikonal equation can be analytically solved.

The frequency equation is deduced and analytically solved in terms of Bessel functions.

First, the problem is analytically solved, and closed-form solution is obtained.

The resulting boundary value problem is analytically solved by a Navier-type solution.

The resulting equations are analytically solved by employing Navier's solution procedure for simply supported boundary conditions.