AP EAMCET · Maths · Differential Equations
The order of the differential equation corresponding to the family of parabolas whose axes are along the \(X\)-axis and whose foci are at the origin, is
- A 4
- B 3
- C 2
- D 1
Answer & Solution
Correct Answer
(D) 1
Step-by-step Solution
Detailed explanation
The equation of family of parabolas with focus and the \(x\)-axis as axis is Differentiating w.r.t. \(x\), we get \[ 2 y \frac{d y}{d x}=4 a \Rightarrow a=\frac{y}{2} \frac{d y}{d x} \] Substituting the value of \(a\) in Eq. (i), we get…
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