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nitish kumar Grade:
        

x= exp(tan^-1(y-x^2)/x^2 then dy/dx


notex^2 means  x square

7 years ago

Answers : (2)

student iit
18 Points
										

Take natural logarithm both sides and solve.


Proceed using the method , I will help you along.

7 years ago
Badiuddin askIITians.ismu Expert
147 Points
										

x= exp(tan^-1(y-x^2)/x^2)


first simplyfy this


take log both side


lnx =tan^-1(y-x^2)/x^2


or tan(lnx)=(y-x^2)/x^2


or 1+tan(lnx) =y/x2


or y= x2 +x2tan(lnx)


now differntiate


dy/dx=2x +x sec2(lnx) +2x tan(lnx)


that is tha final answer



7 years ago
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