This video shows the method to use differential equations to represent growth. Consider the function y=multiple of C & e raised to kx or Ce^(kx). Differentiating it with respect to x, we get dy/dx=kCe^(kx) or ky. So, the solution of the differential equation dy/dx=ky is Ce^(kx). There are two possibilities in the function y=e^(kx). It can be exponentially growth or decay function. This depends on the value of k. If k is greater than 0 or k>0, we get an exponential growth function. On the other hand if k<0, we get an exponential decay function. The graph of y= Ce^(kx) goes upwards towards the positive y axis if C is positive and vice versa. k is called as the continuous growth rate.

**Want to master Microsoft Excel and take your work-from-home job prospects to the next level?** Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.

Other worthwhile deals to check out:

- 97% off The Ultimate 2021 White Hat Hacker Certification Bundle
- 98% off The 2021 Accounting Mastery Bootcamp Bundle
- 99% off The 2021 All-in-One Data Scientist Mega Bundle
- 59% off XSplit VCam: Lifetime Subscription (Windows)
- 98% off The 2021 Premium Learn To Code Certification Bundle
- 62% off MindMaster Mind Mapping Software: Perpetual License
- 41% off NetSpot Home Wi-Fi Analyzer: Lifetime Upgrades

## Be the First to Comment

## Share Your Thoughts