Differential Calculus and Differential Equations 2024 – BSc CS Part 1

Paper code: 13502
1502
B.Sc. (Computer Science) (Part 1)
Examination, 2024
Paper No. 1.2
Differential Calculus and Differential Equations

Time: Three Hours]

[Maximum Marks: 50

Note: Attempt five questions in all selecting one question from each Section. All questions carry equal marks.

Section-A

1. (a) Find the n^th differential Coefficient of e^ax sin(bx+c).

    (b) If y = e^sin-1x then find y_n.

2. (a) State and prove Maclaurin’s theorem.

    (b) Expand loge(x+h) in ascending powers of h by using Taylor theorem.

3. (a) Evaluate :

    (b) Discuss the difference between subtangent and subnormal.

4. (a) Find the pedal equation of the parabol y²=4ax.

    (b) Find the polar sub-normal of the ellipse:

Section-B

5. (a) Solve :

    (b) Solve :

6. Solve :

7. Solve :

Section-C

8. Evaluate :

9. (a) Evaluate :

    (b) Evaluate :

10. (a) Evaluate it as limit of sum.

    (b) Solve :

……End……

Thank you: Gourish Rajput 🙂