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 out some solutions to
y′′ - 9 y = 0
Solution
We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the original function. One of the first functions which I can think of that comes back to it after two derivatives is an exponential function and along with proper exponents the 9 will find taken care of as well.
Therefore, it looks like the subsequent two functions are solutions.
y(t) = e3t and y(t) = e-3t
We'll leave this to you to verify that these are actually solutions.
These two functions are not the merely solutions to the differential equation though. Any of the subsequent is also solutions to the differential equation.
y (t ) = -9e3t
y (t ) = 56e-3t
y (t ) = 7e3t - 6e-3t
y (t ) = 123e3t
y (t ) = (14/9) e-3t
y (t )= -92e3t -16e-3t
Actually, if you think about it any function which is in the form
y (t ) = c e3t + c e-3t will be a solution to the differential equation.
This illustration leads us to a very significant fact that we will use in practically each problem in this section will be a solution to the differential equation.
Example Evaluate following limits. Solution Here our first thought is probably to just "plug" infinity into the polynomial & "evaluate" every term to finds out the
how to solve addition
help me with how to write sample of proportion using visual basic
reduction
Ask question #Minimum 1Let X be a topological space, let p ? X, and let F and ? be C-valued functions on X that are continuous at p. Then the functions F + ?, F?, |F|, ReF and ImF
Determine the differential for following. y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just
Topic 1: Statistical Studies Find two different news stories in a mainstream media source (CNN, FoxNews, Newsweek, etc.), that cite data from a recognized poling agency. Locate th
solve the following simultaneous equations x+y=a+b ; a/x_b/y
Ravi is a teacher of Class 4 in a municipal school in Delhi. When the new school year started, he opened the textbook and started teaching the children how to write 4-digit numbers
Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s
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