COMEDK · Maths · 32. Differential Equations
The differential equation of the family of parabolas \(y^{2}=4 a x\), where \(a\) is parameter, is
- A \(\frac{d y}{d x}=\frac{y}{2 x}\)
- B \(\frac{d y}{d x}=-\frac{y}{2 x}\)
- C \(\frac{d y}{d x}=-\frac{2 y}{x}\)
- D \(\frac{d y}{d x}=\frac{2 y}{x}\)
Answer & Solution
Correct Answer
(A) \(\frac{d y}{d x}=\frac{y}{2 x}\)
Step-by-step Solution
Detailed explanation
Given, equation of parabola is \(y^{2}=4 a x \quad \text{...(i)}\) Differentiating \(\mathrm{E} \mathrm{g}\). (i) w.r.t. \(x\), we get…
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