The order and the degree of the differential equation \(x\left(\displaystyle\frac{dy}{dx}\right)^2 - y\displaystyle\frac{dy}{dx} + 3 = 0\) are respectively
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1 and 2
The order is the order of the highest derivative present, and the degree is the highest power of that derivative.
The only derivative present is \(\frac{dy}{dx}\), so
\(\text{order} = 1\)
Its highest power is 2, from the term \(x\left(\frac{dy}{dx}\right)^2\), so
\(\text{degree} = 2\)