Differential Calculus and Differential Equations 2023 – BSc Computer Science Part 1

Differential Calculus 2023

paper.html

Paper code: 13502
1502
B.Sc. (Computer Science) (Part 1)
Examination, 2023
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) If , then prove that:

        hence find the value of

    (b) Find when

2. (a) Apply Maclaurin’s theorem to to prove that:

    (b) Use Tailor’s Theorem to prove that

3. (a) Evaluate:

    (b) If the normal to the curve makes an angle Φ with the axis of x, show that its equation is :

4. (a) Find the pedal equation of the curve:

    (b) Find the polar sub-tangent for the ellipse:

Section-B

5. (a) Solve the following differential equation:

    (b) Solve the following differential equation:

6. (a) Solve the equation:

    (b) Solve the equation:

7. (a) Solve :

    (b) Solve :

Section-C

8. (a) Evaluate :

    (b) Evaluate :

9. (a) Find the indefinite integral :

    (b) Evaluate :

as the limit of a sum.

10. (a) Evaluate :

by summation.

    (b) Evaluate :

……End……

Lokesh Kumar: Being EASTER SCIENCE's founder, Lokesh Kumar wants to share his knowledge and ideas. His motive is "We assist you to choose the best", He believes in different thinking.
Related Post
Leave a Comment

This website uses cookies.