Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

The Changes in a Function Y and the Independent Variable X Are Related as D Y D X = X 2 . Find Y as a Function of X. - Physics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

The changes in a function y and the independent variable x are related as 
\[\frac{dy}{dx} = x^2\] . Find y as a function of x.

Advertisement Remove all ads


Changes in a function of y and the independent variable x are related as follows:
\[\frac{dy}{dx} = x^2 \]
\[ \Rightarrow dy = x^2 dx\]
Integrating of both sides, we get:
dy = ∫x2 dx
\[\Rightarrow y = \frac{x^3}{3} + c\]
where c is a constant
∴ y as a function of x is represented by
\[y = \frac{x^3}{3} + c\]

Concept: What is Physics?
  Is there an error in this question or solution?
Chapter 2: Physics and Mathematics - Exercise [Page 30]


HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 2 Physics and Mathematics
Exercise | Q 29 | Page 30

View all notifications

      Forgot password?
View in app×