DE - Analytic Method                                          Home : www.sharetechnote.com

 

 

 

Solve

 For the physical meaning of this equation and to know how this equation came out, refer to Modeling : Mixing : Single Tank page.

 

Step 1

Find Pattern

 

Step 2

Contvert the given equation to the pattern identified in previous step

 

Step 3

Integrate both sides
 
Step 4 Solve the equation (Re arrange the equation with respect to y)
 
   
Let's see how Wolfram Alpha solve this problem.
 

Go to http://www.wolframalpha.com and Type in as follows :
   
 
   
  Now press [ = ] button and you woul get the solution as follows :