TS EAMCET · Maths · Differential Equations
The differential equation of the family of curves \(y=a x+\frac{1}{a}\), where \(a(\neq 0)\) is an arbitrary constant, has the degree
- A 4
- B 3
- C 1
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
We have, \[ \begin{aligned} y & =a x+\frac{1}{a} \\ \Rightarrow \quad \frac{d y}{d x} & =a \end{aligned} \] On putting \(a=\frac{d y}{d x}\) in Eq. (i), we get…
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