TS EAMCET · Maths · Differential Equations
The degree and order of the differential equation of the family of parabolas whose axis is the \(\mathrm{X}\)-axis, are respectively
- A 2,2
- B 2,1
- C 1,2
- D 3,2
Answer & Solution
Correct Answer
(C) 1,2
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & y^2=4 a(x-b) \\ & \Rightarrow \quad 2 y \frac{d y}{d x}=4 a \Rightarrow y \frac{d y}{d x}=2 a \\ & \Rightarrow \quad y\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^2=0 \\ & \therefore \quad \text { Order }=2, \text { degree }=1 .\end{aligned}\)
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