sri a s n m government college palakol bsc degree 2nd sem mathematics 2024 question paper

Sri A.S.N.M Government College Palakol BSC degree 2nd sem mathematics 2024 question paper

Uploaded at Sun 15/06/2025

Sri A.S.N.M Government College Palakol BSC degree 2nd sem mathematics 2024 question paper affiliated by adikavi nannaya university Rajahmundry

Sri A.S.N.M Government College (A),Palakol

(Affiliated to Adikavi Nannaya University, Rajahmundry)

(Re-accredited at B+ Grade by NAAC with 2.67 CGPA)

I Year BSC II Semester(Honours) Theory End Examinations Aril/May-2024

Paper: MATHEMATICS-III

W.E.F. 2023-2024 ADM.BATCH

Paper title: Differential Equations

Paper Code: MAT032

Time duration: 3 hrs

Time: 9AM TO 12 NOON

Date: 02-05-2024

Max.Marks: 60 M

PART-I

5 x 4 = 20M

Answer any five questions, each question carries four marks.

A. Solve (e^y + 1) cos x dx + e^y sin x dy = 0

2. Solve (x2 + 1) +dy/dx+ 4xy = 1/x2+1

3. Solve p² - 5p+6=0

4. Solve (D⁴+8D² + 16)y = 0.

5. Solve (D² - 5D + 6)y = e⁴x.

6. Solve (D²+4)y = xsinx.

7. Solve (D² - 4D + 4)y = x^3.

8 Solve (x²D² + xD − 1)y = x³

PART-II

5 x 8=40M

Answer any five questions, choosing atleast two from each section. Each question

carries eight marks.

SECTION-A

9. Solve dy/dx + y/x = y²xsinx

10. Solve (2x²y - 3y²)dx + (2x³- 12xy + logy)dy = 0.

11. Solve p² + 2pycotx = y.²

12. Solve y =2xp + x²p².

13. Solve (D² - 3D + 2)y = cos hx.

SECTION-B

14. Solve (D² + 9)y = cos³x.

15. Solve (D² - 4D + 4)y = 8x²e^2xsin2x.

16. Solve (D² - 4D + 1)y = e^2x cos²x.

17. Solve (D² + a²)y = tanax by the method of variation of parameters.

18. Solve (x²D²+2xD - 12)y = x³logx.

Sri A.S.N.M Government College Palakol BSC degree 2nd sem mathematics 2024 question paper

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