Sentence examples for expression of the general solution from inspiring English sources

We separate the study in three cases, taking into consideration the expression of the general solution of (2.6).

Using the expression of the general solution: (A x)=frac{1}{3alpha }M x)), (0leq xleq1), we can easily find that the ((1,3)) entry of (A(1)) equal to (frac{11}{18}) (the ((1,1)) entry of (A(1)) equal to (frac{7}{24}>0)) is the greatest (least) entry among all the entries of all the possible SS realizations of (Lambda _{1}).

Using the general solution, analytical expressions of thermal distortion and associated internal forces for commonly used end supports are obtained.

According to Poincaré [2], to integrate a differential equation is to find for the general solution an expression, possibly multivalued, in terms of a finite number of functions.

Then, the general solution of the differential Eqs.

as where is the general solution of the equation.

We obtain the general solution of the AQ-functional equation.

The general solution of the IFF motif required solving the ODE system shown in Figure 4Bii.

Singular solution, in mathematics, solution of a differential equation that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.

The new solution is obtained as an asymptotic expression of a general solution and is valid for low frequencies down to the static case.

The singular solution is related to the general solution by its being what is called the envelope of that family of curves representing the general solution.