AP EAMCET · Maths · Differential Equations
The particular solution of the differential equation \(\left(1+y^2\right) d x-x y d y=0, y(1)=0\) represents
- A a circle
- B a part of parabola
- C a part of ellipse
- D a part of hyperbola
Answer & Solution
Correct Answer
(D) a part of hyperbola
Step-by-step Solution
Detailed explanation
\(\left(1+y^2\right) \mathrm{dx}-x y d y=0\) \(\Rightarrow \frac{d x}{x}-\frac{y}{1+y^2} d y=0\) Integrating both sides:…
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