UPSC NDA I 2016 Mathematics Solved Paper

Given:
Solution of differential equation is
y=cx+c2−3c‌‌

3

2

+2...(1)
To find order and degree of differential equation, we will find differential equation first
Now differentiating equation (1) w.r.t. x and putting value of c to remove it, we get

dy

dx

=c
Hence order of differential equation is 1 and degree is 4.