For the differential equation s′′+bs′+6s=0, find all the values of b that make the general solution overdamped, those that make
it underdamped, and those that make it critically damped. (For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range 2
1 answer:
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Answer:
Option (c) is correct.
Step-by-step explanation:
Given equation is :
The equation can be solved for a as follows :
Step 1.
Cross multiply the given equation
Step 2.
Now subtract b on both sides
3s-b = a+b+c-b
3s-b = a+c
Step 3.
Subtract c on both sides
3s-b-c=a+c-c
⇒ a=3s-b-c
The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".