Applied mathematics

May 19th, 2015
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Applied mathematics is using and applying mathematical methods in developing the modern science. Mathematical techniques can be applied to science and technology to study real-world problems by using mathematical equations

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FEDERAL PUBLIC SERVICE COMMISSIONCOMPETITIVE EXAMINATION FOR RECRUITMENT TO POSTSIN B.P.S.-17 UNDER THE FEDERAL GOVERNMENT, 2000.APPLIED MATHEMATICS. PAPER-IITIME ALLOWED: 3 HOURS MAXIMUM MARKS: 100 Note: Attempt FIVE questions in all, including QUESTION NUMBER 8 which is COMPULSORY, select TWO questions from each SECTION. All questions carry EQUAL marks.SECTION-I(a) Use the method of variation of parameters to find a general solution for the differential equation y? + y = tan2 x(b) Find the series solution of the differential equation y?+xy'+2y=0 withCentre of expansion at x0 =1.

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