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The differential equation representing the family of curves y2 = () 2c x c + , where c > 0, is a parameter, is of order and degree ?

The differential equation representing the family of curves y2 = () 2c x c + , where c > 0, is a parameter, is of order and degree ?

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
y^{2} = 2cx + c
2yy^{'} = 2c
c = yy^{'}
y^{2} = 2xyy^{'} + yy^{'}
y^{'} = \frac{y}{2x+1}
Order: 1
Degree: 1
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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