AP EAMCET · Maths · Differential Equations
Among the options given below, from which option a differential equation of order two can be formed?
- A All circles passing through origin
- B All parabolas passing through origin and having focus on x -axis
- C All the lines passing through the origin
- D All hyperbolas of the form \(\mathrm{x}^2-\mathrm{y}^2=\mathrm{k}^2\)
Answer & Solution
Correct Answer
(A) All circles passing through origin
Step-by-step Solution
Detailed explanation
Equation of circles passing through origin \(x^2+y^2+2 g x+2 f y=0\) where \(g\) and \(f\) are constants So, 2 arbitrary constants \(\Rightarrow\) Order of differential equation will be 2 .
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