A method of solving time varying differential equations

Venkatesh, Y. V. ; Deekshatulu, B. L. (1966) A method of solving time varying differential equations International Journal of Control, 3 (4). pp. 345-357. ISSN 0020-7179

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Related URL: http://dx.doi.org/10.1080/00207176608921389


A new method of obtaining the impulse response of second-order time varying systems of the form a2(t)x" + a1(t)x' + ao(t)x = f(t) without the knowledge of the independent solutions of the associated homogeneous equation is presented. The proposed procedure amounts to obtaining the particular solution of the equation: (N' + N2)a2 + 2a2'N + a2" = a1' + a1N - a0, prime denotes differentiation. Many examples are given to indicate the unique feature of the method. The same principle is extended to linear second-order time varying difference equations and linear third-order time varying differential equations.

Item Type:Article
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Deposited On:02 Nov 2010 10:53
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