References in periodicals archive ?
To satisfy (8), we should be seeking [psi]([tau]) in such class of functions in which the homogeneous equation, corresponding (7), has two linearly independent solutions.
ln t/ln q]/[square root of ([mu](t))]I are linearly independent solutions of the homogeneous equation
i](t) are linear independent particular solutions to the homogeneous equation, [[gamma].
The solutions of the homogeneous equation are dilatational waves which are longitudinal waves, propagating along the direction of motion.
2] if and only if the coefficients satisfy the homogeneous equation given by
is the solution of the homogeneous equation u"(x) + u(x)= 0, that satisfies the initial conditions u(0) = 0, and u'(0) = 1, hence is the function [E.
Equation (2) is a homogeneous equation in an inhomogeneous medium.
h] is the general solution of the corresponding homogeneous equation
To get an idea about the minimal degree and the variation between different solutions, we first consider the underlying homogeneous equation
For any fixed k, the solution of the homogeneous equation is given by
2] system is likely to proceed according to a combination of heterogeneous Equation (4) and homogeneous Equation (8) pathways.

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