VU Midterm Past Papers

MTH302 — Business Mathematics & Statistics — Midterm Past Papers & Solved MCQs

4 solved midterm past paper MCQs for MTH302 (Business Mathematics & Statistics) at Virtual University, each with the correct answer marked. Use them to learn the VU question style and test your recall. An independent study tool — not affiliated with VU.

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Q1. Which of the following is singular point of the equation x^2 y'' + x y' + (x^2 - 1) y = 0?
- A.x = 0✓ Correct
- B.x = 2
- C.x = 1
- D.None of other
Q2. The form of the particular solution for the differential equation y' - 2y = x e^{3x} is
- A.y_p = A e^{x} + B x + C
- B.y_p = (A x + B) e^{3x}✓ Correct
- C.y_p = (A x + B) x e^{3x}
- D.None of above
Q3. Which of the following is Legendre's Equation?
- A.(1-x^2) y'' - 2x y' + 7 y = 0
- B.(1-x^2) y'' - 2x y' + 35 y = 0
- C.d/dx[(1-x^2) dy/dx] + 6 y = 0
- D.All of three equations are Legendre's equation✓ Correct
Q4. The differential equation (2x^2 y - 3x) dy + (4x y^2 - 6y) dx = 0 is
- A.Separable
- B.Exact✓ Correct
- C.Linear
- D.Bernoulli's