IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Question 29

IIM B UG (B.Sc-Hons.)- Sample Paper 2026 question on Differential Equations, with the answer and a step-by-step solution.

Differential EquationsCalculusMultiple choiceEasy
The solution of \frac{dy}{dx}= 2x, y\left( 0 \right) = 3, is:
  1. A
    y = 2{x}^{2}+ 3
  2. B
    y = 2x + 3
  3. C
    y ={x}^{2}
  4. D
    y ={x}^{2}+ 3
Pick an option, then check.
Answer & solution

Answer: Option D

Integrate both sides with respect to x.

∫ dy = ∫ 2x dx, so y = x² + C.

Apply the initial condition y(0) = 3: 3 = 0² + C, so C = 3.

The solution is y = x² + 3.

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