MHT CET · Maths · Differential Equations
The equation of the curve passing through \(\left(2, \frac{9}{2}\right)\) and having the slope \(\left(1-\frac{1}{x^2}\right)\) at \((\mathrm{x}, \mathrm{y})\) is
- A \(x y=x^2+2 x+1\)
- B \(x y=x^2+x+2\)
- C \(x y=x^2+x+5\)
- D \(x y=x^2+2 x+5\)
Answer & Solution
Correct Answer
(A) \(x y=x^2+2 x+1\)
Step-by-step Solution
Detailed explanation
\( \frac{dy}{dx} = 1 - \frac{1}{x^2} \) \( y = \int \left(1 - \frac{1}{x^2}\right) dx \)
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