Find the sum of the order and degree of the differential equation \(y=x\left(\frac{d y}{d…
Find the sum of the order and degree of the differential equation \(y=x\left(\frac{d y}{d x}\right)^3+\frac{d^2 y}{d x^2}\)
2
3
4
5
Solution
The order and degree of the given differential equation \(y=x\left(\frac{d y}{d x}\right)^3+\frac{d^2 y}{d x^2}\) are 2 and 1 respectively.
So, the sum of the order and degree of given differential equation is 3.
Hence, option (b) is correct.