Sentence examples for becomes a linear Equation from inspiring English sources

In this case the amplitude equation (2) loses its cubic nonlinearity term and it becomes a linear equation only.

In contrast, in the limit of (xi rightarrow 0), (12) becomes a linear equation for s, and the solution is begin{aligned} s=frac{s_1 s_2}{s_1 + s_2 -3} = frac{3 u_1}{u_1 - u_3}.

For example, if a one-dimensional difference equation admits a symmetry, then it becomes a linear equation and an analytic solution may be obtained as described in [8] and [9].

If the coefficient α is constant everywhere (not only along the field lines), Eq. (13) becomes a linear Equation that can be reduced to the Helmholtz equation, nabla^{2} boldsymbol{B} + alpha boldsymbol{B}=0, (15).

After determining {t i }, (35) becomes a linear system of equations with respect to the values {c i } which could be easily solved.

Equation (12) becomes a linear system and the solution is estimated as (5) β ^ = H † T, where H† is the Moore-Penrose generalized inverse of the hidden layer output matrix H.

Solve it as a linear equation.

Why is it trying to be a linear equation?

And now, solve it as a linear equation.

In this very slightly transformed Bernoulli equation is a linear equation struggling to be free.

But, ultimately, as you will see, the way the equations are solved is by changing them into a linear equation, or an equation where the variables are separable.