Question: If a, b, and c are all positive constants and y(x) is a solution of the differential equation ay'' + by' + cy = 0,

If a, b, and c are all positive constants and y(x) is a solution of the differential equation ay'' + by' + cy = 0, show that limx→∞ y(x) = 0.

Step by Step Solution

3.41 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The auxiliary equation is ar br c 0 If b 4ac 0 then any solution is of the form yx ce wher... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!