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Algebra _ Computation of square root
Algebra _ Computation of square root COMPUTATION OF SQUARE ROOT The square root of a given number is another number which when multiplied with itself results in the given number. Similarly, the square root of a given polynomial P(x) is another polynomial Q(x) which when multiplied by itself gives P(x). In the earlier classes you learnt to find square root of polynomials by factorisation method. Here, we find square root by the method of division. For polynomials of higher degree the method of division is very much useful. This method is similar to the division method of finding the square root of numbers.
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homogeneous linear differential equations with constant coefficients
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Notes demonsrating how to solve linear algebra problems using Matlab.
£6.25 Preview RemoveGeneralized rational first integrals of analytic differential systems
In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the resonances. The main results extend some of the previous related ones, for instance the classical Poincar\'e's one \cite{Po}, the Furta's one, part of Chen's ones, and the Shi's one. The key point in the proof of our main results is that functionally independence of generalized rational functions implies the functionally independence of their lowest order rational homogeneous terms.Comment: 22. Journal of Differential Equations, 201
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