Abstract
In this paper methods of solving linear systems with time dependent parameters by usingstraight line approximations (Bessel function approach) and by using parabolic cylinder functions (Weber function approach) are proposed. The results obtained by these two approximations are compared with those obtained by using a numerical procedure on a digital computer. The Weber function approach is comparatively simple as it uses mostly tabulated functions. It is also less time-consuming and more exact than the other approximate methods of solving linear differential equations with time varying coefficients. Examples are provided to illustrate the technique proposed.
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