Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find and classify all the equilibrium solutions to the subsequent differential equation.
y' = y2 - y - 6
Solution
First, get the equilibrium solutions. It is generally easy adequate to do.
y2 - y - 6 = (y - 3) ( y + 2) = 0
Thus, it looks as we've found two equilibrium solutions. y = -2 and y = 3 both are equilibrium solutions. There is the sketch of several integral curves for this differential equation is given below. A sketch of the integral curves or direction fields can simplify the method of classifying the equilibrium solutions.
By this sketch it appears that solutions which start "near" y = -2 all move indirections of it as t rises and so y = -2 is an asymptotically stable equilibrium solution and solutions which start "near" y = 3 all move away from it as t raises and so y = 3 is an unstable equilibrium solution.
This next illustration will introduce the third classification which we can give to equilibrium solutions.
y'-5y=0
/100*4500/12
Are there more rational numbers than integers?#
EVERY TIME I TRY TO DO ANY KIND OF FRACTIONS WELL MULTIPLYING I ALWAYS GET IT WRONG
i have assignment in operatuion research can you help me
what is patterns with fractions mean?
What is the Definition of Finite and infinite sets?
Measures of Dispersion - The measures of dispersion are extremely useful in statistical work since they indicate whether the rest of the data are scattered away from the mean
Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after
Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4". Be sure to include units in your answer. Solution: V
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd