Question: show that y= sin (x and yz = (os ,2) are linearly independent and then show that there 1 S no equation of the form

show that y= sin (x and yz = (os ,2) are linearly independent and then show that there 1 S no equation of the form y " + P ( w) y ' t q ( x y = 0 with both P and of continuous everywhere , having both ye =sin( 2 and y 8 - cos( 2 4) as solutions

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

Ewing Natural Gas is a large energy company with headquarters in Dallas, Texas. The company offers a wide variety of energy products and has annual revenues of approximately $50 billion. Because of...

Note the following result: If then . In other words, is given by the smallest value for which , where is an matrix and is an matrix. a) Let have rank . Using the rank normal form, show that matrices...

4. (a) Show that {sin 1:, cos x} and {sin ac, sinx + cos x} are two distinct pairs of linearly independent solutions of y\" + y = 0. From this we can conclude that y1,y2 are not uniquely determined...

Show that the equation x (1-x) y (x) + (1 - 5x) y (x) - 4y(x) = 0 has the following linearly independent solutions: y (x) = [ (1+n) x n n=0 too Y(x) = y(x)lu (x1 - 2 n(n+1)x" n=1 Show that the...

Consider the motion of a charged particle in a spatially uniform magnetic field that varies slowly in time as compared to the particle cyclotron period. (a) Show that the equation of motion can be...

Putting into consideration the polynomials p 1 = 1 + x, p 2 = 1 x 2 , p 3 = 1 + x + x 3 , p 4 = 1 + x 3 and p 5 = x 2 + x 3 (a) Show, or argue, that the five polynomials {p 1 , p 2 , p 3 , p 4 , p 5...

Question 1 (a) Find the rank of the following matrices by any method. 0 (i) A (Hi) B - 1 WOO [4 Marks] 0 0 0 (b) Determine the consistency and the nature of solutions of each system of the following...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Can you please help me with number 12 and number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials...

Can you please help me with number 31. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials and Linear...

Ronald Roth started his new job as controller with Aerosystems today. Carole, the employee benefits clerk, gave Ronald a packet that contains Information on the company's health insurance options....

According to the U.S. Postal Service, the average weight of mail received by Americans in 2011through the Postal Service was 57.2 pounds (The New York Times, December 4, 2011). One hundred randomly...

Find integers s and r so that 420s-15731=1, and use it to solve the congruence 420x 1 (mod 1573). b) Use Extended Euclidean Algorithm to find integers s and such that ged(34,126) = 34s + 126r, and...

Culio Jay Ltd is a based in Alberta, Canada. It manufactures silk garments for the Dubai market. The silk garments business has been doing very well. The management is considering expanding the...

Find each function f(x) given, (a) find any three ordered pair solutions (a,b), then (b) algebraically compute f(x), and (c) verify the ordered pairs (a,b) satisfy f(x). f(x)=x-2 f(x)=x +3 f(x) = x +...

Assume the periodic message signal m(t), shown below, is applied to a phase modulator with a phase sensitivity of kp-2n rad/Volt. Assume a carrier frequency of fe=1 Hz. a) Sketch the phase of the...

the aisles. They line up 10 deep at checkouts with carts full of Trader Joe's exclusive $2.99 Charles Shaw wine-aka "Two- Buck Chuck"-and an assortment of other exclusive gourmet products at...

Please complete the Express Catering, Inc.s 2014 tax return based upon the information provided below. If required information is missing, use reasonable assumptions to fill in the gaps. Ignore any...

Assume you have an graph as following. Use Dijkstra Algortihm to calculate shortest path from vertex A to every vertex (manuel calculation). Write the Dijkstra code to generate this graph and find...

please help me do this assignment for me CASE STUDY 1 Orbit's Earnings Growth Edry was a senior Vice President in the Customer Credit Department at Orbit International Broadcast Network (Orbit, a...

3. Give away need to know information and you will get back information that you find useful.

4. Present multiple themes at once. Then you will get to know a little about how others think, when some of the themes are rejected.

5. Get a third party to mediate, so that both parties have the opportunity to go back to their original negotiating point that they had before the third party put forward his/her proposal.