## PENYELESAIAN PERSAMAAN DIFERENSIAL CAUCHY-EULER ORDE 2 DENGAN METODE FAKTORISASI OPERATOR

Ruly, Widiarti (2010) PENYELESAIAN PERSAMAAN DIFERENSIAL CAUCHY-EULER ORDE 2 DENGAN METODE FAKTORISASI OPERATOR. Other thesis, University of Muhammadiyah Malang.

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## Abstract

Solving the Euler-Cauchy second order differential equation of homogeneous is different from the non homogeneous differential equation. Solving the homogeneous differential equation, only finding homogeneous equation solution. While the non homogeneous differential equations, finding homogeneous equation solution and particular solution. One way to find a particular solution is to use a method of parameter variation. Besides these ways, there is one more way to find a solution short the Euler-Cauchy differential equation of second order is by using the operator factorization method. This method can be used at the time of the differential equation form as homogeneous or non homogeneous. But for solving the homogeneous differential equation, using a shorter way before to determine a solution the base first and then substituted to form a homogeneous solution of equation. Solving the Euler-Cauchy second order differential equation by operator factorization method is by looking for characteristic roots obtained from the characteristic equation, then the roots are substituted to form the operator factorization method and the integral process is repeated until no form of derivatives. Solving the Euler-Cauchy second order differential equation by operator factorization method can be used on all types of roots are the roots of real and distinct, real roots and the same, and the roots of the complex.

Item Type: Thesis (Other) Q Science > QA MathematicsQ Science > QA Mathematics > QA75 Electronic computers. Computer scienceQ Science > QM Human anatomy Faculty of Teacher Training and Education > Department of Mathematics Education (84202) Gusti Vani Putri Cahya 23 Jan 2015 05:04 23 Jan 2015 05:04 http://eprints.umm.ac.id/id/eprint/15061

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