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upendra hembram Grade: 12
        

form the diff. eq. of the family of curves represented by,


c(y+c)2=x3;where c is any arbitrary constant.

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
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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Badiuddin



7 years ago
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