Engineering FE Engineering Common Sem 2 Applied Mathematics II May 2023 R16 Question Paper - Mumbai University | munotes

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Older exam May 2023 - R19 Semester-end · Applied Mathematics II → Newer exam May 2024 Semester-end · Applied Mathematics II →

Questions asked in this paper

Q2 Answer any three questions from the remaining quuestions
Q3 Figures to the right indicate full marks
Q1 a) Solve (x = 1) 5 marks
- b) Evaluate — x dx 5
- c) Solve (D? + 4)y = cos(2x) 5
Q2 a) Assuming the validity of differentiation under the integral sign, Prove that 6 marks
- b)Solve 6
- c) Change the order of integration for the integral Ja 8
Q3 a) Evaluate by Simpson s 3/8 Take h=0.25. 6 marks
- b) Apply Runge-Kutta method of fourth order to find an approximate value of y given that y=1 when x=0 in steps of h=0.1 (6)
- c) — x)dx+x(x+2y)dy=0 8
Q4 a) Solve (D3+D)y=sinx 6 marks
- b) Solve 6
- c) Evaluate theintegral 8
- a) Find dxdy 6
- c) Solve Using the method of variation of parameters 8
Q6 a) Solve — ysinhx 6 marks
- b) a) Solve 6
- c) Evaluate ydxdy throughout the area bounded by x=0, and x+y=2. 8

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