Question
Download Solution PDFRate of growth of bacteria is proportional to the number of bacteria present at time. If x is the number of bacteria present at any instant t, then which one of the following is correct? (Let the proportional constant equal to 2)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Variable Separable Form:
If it is possible to write a differential equation in the form of f(x) dx = g(y) dy where, f(x) is a function of x and g(y) is a function of y, then we say that the variables are separable.
This kind of differential equations can be solved by integrating both sides. The solution is given by
Calculation:
As it is given that, proportional constant equal to 2
Now, by integrating both the sides we get
Now, raising both the side to the power of e, we get
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