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.
number theory trivia
DECISION TREE ANALYSIS The Finance Manager of ‘Softy’ baby soap manufacturing company being successful in the first two years of the company’s operations is considering to set
what''s
Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
2/6
Correlation coefficient - These are numerical measures of the correlations existing between the independent and the dependent variables - These are better measures of corre
dora and her family are driving to visit relatives for the holidays they travel 174 miles in 3 hours if they travel at a constant speed how many miles do they travel in one hourest
find the value of x for which [1 0] [0 x-8]
A rectangular field is to be fenced in completely. The width is given as 22 yd and the total area is 990 yd 2 . Determine the length of the field? a. 31 yd b. 45 yd c. 968
RELATING ADDITION AND SUBTRACTION : In the earlier sections we have stressed the fact that to help children understand addition or subtraction, they need to be exposed to various
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd