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.
#quesSuppose we have a stick of length L. We break it once at some point X ~ Unif(0;L). Then we break it again at some point Y ~ Unif(0;X). Use the law of iterated expectation to c
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar
sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3
On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
.755 convert to a percent
use venn diagram to present
4.2^2x+1 - 9.2^x + 1=0
If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is Q = A (1 + r) k Suppose
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