Sentence examples for by solving this equation from inspiring English sources

By solving this equation, the natural frequencies and modes are found.

By solving this equation, exact solutions of (1) will be obtained.

The latter is determined at a given time t by solving this equation.

The results indicate that smooth optimal solutions can be obtained by solving this equation.

By solving this equation, the frequency of (Delta delta) can be derived; this frequency is equal to the resonant frequency.

By solving this equation, we can compute numerically the time to the first gamma spike, and then use singular perturbation theory to find successive spike times.

Therefore, it is possible for us to know how the concentration will change through time by solving this differential equation.

The values of Oil variables in the h-th layer obtained by solving this linear equations are utilized as that of Vinegar variables in the (h+1 -th layer.

By solving this set of equations, the necessary changes in design parameters are calculated, in order to achieve predefined simultaneous shifts in natural frequencies and buckling loads.

True proportions were estimated by solving this system of equations for each annual smolt and adult collection using linear algebraic methods in r.

After having determined the functions Ψ+ and Ψ− by solving this system of integral equations numerically, the function P is found from the functional equation in question.