Show that if r1 and r2 are distinct real roots of the auxiliary equation, then y =

Question:

Show that if r1 and r2 are distinct real roots of the auxiliary equation, then y = C1er1x + C2er2x is a solution of y" + a1 y' + a2 y = 0?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 11:23 AM

See More Questions

Independent Solutions Show that if r1 and r2 are distinct real characteristic roots of equation (1), then the solutions e'' 1 and er2t are linearly independent?
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in ohms (Î©), is given by 1/R = 1/R1 + 1/R2 If R1 and R2 are...
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure, then the total resistance R, measured in ohms (), is given by 1/R = 1/R1 + 1/R2 If R1 and R2 are increasing at...
Describe what is meant by the supply chain. (1marks) 2. Using examples from the case study, analyse how Nestle's Creating Shared Value contributes to its corporate social responsibility activities....
Suppose that Roger Sobodka, a U.S. executive stationed in Paris, wishes to build a support office for his firms technicians in the Parisian suburb of Asnieres. He enters into an agreement with...
Why PCs in the same IP subnet, but different VLANs can not communicate?
Exercise 2.143 introduces a study examining the relationship between football playing and hippocampal volume, in $\mu \mathrm{L}$, in the brain. We use the $n=25$ participants in the control...
A British warship fires a projectile due south near the Falkland Islands during Word War I at latitude 50oS. If the shells are fired at 37o elevation with a speed of 800 m/s, by how much do the...
Explain the two different ways to measure the real interest rate? Why can the nominal and real interest rates move in different directions?
Do you remember Brenda who used to be my boss? Stephanie queried. She once said that shed invest in my business if I was really going to do it, so it looks like I can get some equity investment. I...
Show that the substitution x = ez transforms the Euler equation ax2 y" + bxy' + cy = 0 to a homogeneous linear equation with constant coefficient?
Show that if r1 and r2 are distinct real roots of the auxiliary equation, then y = C1er1x + C2er2x is a solution of y" + a1y' + a2 y = 0?
An x-ray machine uses 240 kV rms at 60.0 mA rms when it is operating. If the power source is a 420-V rms line, (a) What must be the turn's ratio of the transformer? (b) What is the rms current in the...
Describe the accessing functions for one-dimensional arrays at the implementation level.
True or False? O(N*N) is called quadratic time.
What characterizes functional decomposition?
The specifications for the Sorted List ADT state that the item to be deleted is in the list. 1. Rewrite the specification for DeleteItem so that the list is unchanged if the item to be deleted is not...
Explain how an expert understanding of your programming language can reduce the amount of time you spend debugging.
a) Write the denary numbers 60, 27 and 27 in 8-bit binary twos complement form. b) Show the result of the addition 60 + 27 using 8-bit binary twos complement form. Show all of your working. c) Show...
In a certain school district, 3% of the faculty use none of their sick days in a school year. Find the probability that 5 faculty members selected at random used no sick days in a given year.
The bimolecular reaction of chlorine monoxide can result in the formation of three different combinations of products or product channels (rate constant for each reaction is indicated): Determine the...
Use a figure to explain the fishers comment about the effect of a large catch on the market price in the cartoon about catching lobsters in this chapter. What is the supply shock?
The estimated Canadian processed pork demand function (Moschini and Meilke, 1992) is Q = 171 - 20p + 20p b + 3p c + 2Y (see Exercise 1.1), and the supply function is Q = 178 + 40p - 60ph (see...
During October 2 0 2 3 , Fern Field Farms, Inc. received $ 1 0 , 0 0 0 from customers in exchange for fruit and vegetables. During the same month, the company paid $ 2 , 0 0 0 to employees, $ 5 0 0...
Given data below answer the question. Cash Accounts receivable $ 10,200 Cash dividends 15,200 Consulting revenue Office supplies 3,550 Rent expense $ 2,340 15,200 3,910 Office equipment 18,310 Land...
Last year, a city had three school districts: North with a population of 5200 children, South with a population of 10600 children, West, with a population of 15100 children. Use Hamilton, Adams,...

Show that if r1 and r2 are distinct real roots of the auxiliary equation, then y =

Question:

Step by Step Answer:

We need to show that y a 1 y a 2 y 0 if r 1 and r 2 are distinct real roots of the ...View the full answer

Calculus

Students also viewed these Calculus questions