CUET · MATHS · PYQ PAPER 2023
In the context of differential equation
Match List I with List II
| LIST I | LIST II |
| A. \(\frac{d y}{d x}=\frac{1+y^2}{1+x^2}\) | I. Not a differential equation |
| B. \(x^2 \frac{d y}{d x}=x^2-2 y^2+x y\) | II. Linear first order |
| C. \(\sin x+y=\cos (x+y)\) | III. Variable separable |
| D. \((x+y) \frac{d y}{d x}=1\) | IV. Homogenous |
Choose the correct answer from the options given below:
- A A-I, B-II, C-III, D-IV
- B A-II, B-IV, C-III, D-I
- C A-III, B-II, C-I, D-IV
- D A-IV, B-I, C-III, D-II
Answer & Solution
Correct Answer
(C) A-III, B-II, C-I, D-IV
Step-by-step Solution
Detailed explanation
A. \( \frac{dy}{1+y^2} = \frac{dx}{1+x^2} \) A \(\to\) III (Variable separable) B. \( \frac{d y}{d x} = 1 - 2\left(\frac{y}{x}\right)^2 + \frac{y}{x} \) B \(\to\) IV (Homogeneous) C. No derivative present. C \(\to\) I (Not a differential equation) D. \( \frac{dx}{dy} - x = y \)…
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