Mathematics · Differential Equations
Match the Differential Equations in List-I with their corresponding Integrating Factors in List-II and choose the correct option: List-I (Differential Equation) A. (y - y2)dx + xdy = 0 B. (xy + y + e-x)dx + (x + e-x)dy = 0 C. sin(2x) dy/dx = 2y + 2cos(2x) D. (2xy2 + y)dx + (2y3 - x)dy = 0 List-II (Integrating Factor) I. 1tan(x) II. 1x2y2 III. ex IV. 1y2
- 1A - IV, B - III, C - I, D - II✓
- 2A - I, B - II, C - III, D - IV
- 3A - II, B - III, C - I, D - IV
- 4A - I, B - II, C - IV, D - III
Correct answer
A - IV, B - III, C - I, D - II
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