BSc Mathematics SEM IV 2017 18 2017-18 MATHS III Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 , Q.2, Q.3 attempt any one subquestion (Each 8 mks) from part (a) and any three subquestions (each 4 marks) from part
2. Q4 Attempt any three (Each 5 mks.)
   • a) Attempt any one. 8
3. Q1 State Rule 3 and solve nonexact differential equation
4. Q2 State and prove bernoulli differential equation and solve x logx
   • b) Attempt any three. (each 4 marks) 12
5. Q1 Solve the differential equation (x — dy =
6. Q2 a) Attempt any one. 8 marks
7. Q1 State and prove method of variation of parameters
8. Q2 Solve the differential equa by method of undetermined coefficient,
   • b) Attempt any three. (each 4 marks) 12
9. Q1 Prove that ‘olution of the equation + + q(x)y = 0 and y, is any particular solution of the equation
10. Q4 Determine wh ving functions are linearly independent or not Using equation y* on (0, 0.4)
    • b) Attempt any three. (each 4 marks)
11. Q1 Use Runge Kutta method of second order to find y(0- 1), -2)4
12. Q2 Given the equation = y(1) = 2 Estimate y(2) using Mi y(2) with h = 0.5 for = + y, y(1) = using
13. Q4 a) Attempt any three. (each 5 marks)
14. Q1 Solve : 2ry = y?_ 9x8 given that y(1) Ay
15. Q2 Find the current in series R-c circuit with R=209C= 0.01f
16. Q3 Prove that if y,(x) is non zero solution of the equation Y, = y,(x) e cv is another solution of the equatior
17. Q4 Find the other independent solution to the different
18. Q5 Prove that Euler’s method and also Solve y'=x-y y(0)=. Find y(0 — 1), y(0 2), y(0 3) by Euler

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