MTH-401 CA2 Previous Year & Sample Questions

2024

2023

Q1. Complementary function of difference equation y_k+2 - 6y_k+1 + 8y_k = 0 for y₀ = 3, y₁ =2

Q2. The particular integral of y_k+2 -2y_k+1 + y_k = 1 is

Q3. P.I. of y_k+2 - 4y_k+1 + 4y_k = 3.2^k is where a and b are constant is

Q4. The value of ¹⁄_Δ(5^k) is

Q5. The value of ¹⁄_E(2^kk) is

Q6. The value of ¹⁄_Δ(2^kk) is

Q7. The value of ¹⁄_Δ(k) is

Q8. The value of ¹⁄_E(k) is

Q9. The value of ¹⁄_Δ(e^2k) is

Q10. The value of ¹⁄_E(e^2k) is

Q11. The Generating Function of a_k = a^k

Q12. The Generating Function of a_n+1 - 5a_n = 0

Q13. a_n+2 - 10a_n+1 + 25a_n = 0, a_n = ?

Q14. If a₀ = 1 then what is the value of a₅₀ for a_n+1 - 5a_n = 0

Q15. Degree of a_n-3 + a_n-2 +5a_n+1 - 6a_n = 0 is

Q16. Which one of the following is the homogeneous recurrence relation

i) a_n+5 + 5a_n =
ii) a_n+1 - 6a_n = 0
iii) a_n+1 - 6 = 0
iv) a_n+1 - a_n - 6a_n-1 + 10 = 0

LPU Verto