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```        form the diff. eq. of the family of curves represented by,
c(y+c)2=x3;where c is any arbitrary constant.```
8 years ago

147 Points
```										Dear upendra
c(y+c)2=x3             ..........1
differentiate w.r.t    x
2c(y+c) dy/dx  =3x2

from euation 1                 c(y+c) = x3/(y+c)

put it
2 x3/(y+c)   dy/dx  =3x2
2x/3  dy/dx   =y+ c
put value of c to equation 1

(2x/3  dy/dx  -y)(2x/3  dy/dx)2 =x3
(2x/3  dy/dx)3   -y(2x/3  dy/dx)2   =x3

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```
8 years ago
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