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Question

The difference between degree and order of a differential equation that represents the family of curves given by y2=a(x+a2),a>0 is

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Solution

y2=a(x+a2)
Differentiating with respect to x,
2yy=a
y2=2yy(x+2yy2)
y=2y(x+yy2)
y2xy=2yyy
(y2xdydx)2=2y(dydx)3
Degree =3 and Order =1
Degree Order =31=2

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