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Question

The changes in a function y and the independent variable x are related as dydx=x2, Find y as a function of x.


Solution

Change in a function of y and the independent variable x are related as, 

dydx=x2

 dy =x2 dx

Taking integration of both sides, we get 
dy=x2 dx

 y=x33+c

y as a function of x is represented by, 

y=x33+c 
 


Physics

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