Question: Verify directly by substitution that x (1-a)/2 ln x is a solution of (1) if (2) has a double root, but x m1 and x

Verify directly by substitution that x^(1-a)/2ln x is a solution of (1) if (2) has a double root, but x^m1and x^m2ln x are not solutions of (1) if the roots m₁ and m₂ of (2) are different.

Step by Step Solution

★★★★★

3.45 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Equation has double root a124b0 ypx1a2 lnx yp1a2 x1a21 lnxx1a2x yp1a2 x1a21 lnxx1a21x1a2... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

1632_61d57f25bcd87_813439.pdf

180 KBs PDF File

1632_61d57f25bcd87_813439.docx

120 KBs Word File

Students Have Also Explored These Related Advanced Engineering Mathematics Questions!

The 6-m pole ABC is acted upon by a 455-N force as shown. The pole is held by a ball-and-socket joint at A and by two cables BD and BE. For a = 3 m, determine the tension in each cable and the...

a. Evaluate x ln x 2 dx using the substitution u = x 2 and evaluating ln u du. b. Evaluate x ln x 2 dx using integration by parts. c. Verify that your answers to parts (a) and (b) are consistent.

A Riccati equation is of the form? ?y' + p(x)y = g(x)y 2 + h(x) A Clairaut equation is of the form y = xy' + g(y'). (a) Apply the transformation y = Y + 1/u to the Riccati equation (14), where Y is a...

Verify Theorem 3.32 by finding the matrix of S º T (a) By direct substitution (b) By matrix multiplication of [S][T]. X1 1 2 + 2, X3. 1 T 2 + 2 - + 2- [ 2, X

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...

Section 2.2: p. 2, 4, 12, 24, 30. Please solve these problems according to the method mentioned in their respective headings. 1-14 GENERAL SOLUTION 27. 10y" + 5y' + 0.625y = 0, y(0) = 2, y'(0) = -4.5...

HOMEWORK C++ An organization can be applied paying little mind to recovery. Since it is associated with dynamic attacks, focal issue will be area rather than aversion. If a encroachment is perceived...

Data set Theory Assume an informational record with one association parent including matches (a, b) where a can't try not to be a parent of b. (a) Write a Datalog demand which gives the graph of...

doublePendulum v0.6 written by Alexander Erlich (mailto:alexander.erlich@gmail.com) Last update submitted to MATLAB File Exchange on October 5th, 2010. Lagrangian and di\u001berential equations The...

(a) Explain how a limit worth may be tended to at run-time, both in a syntaxtree middle person and in collected code. What is the importance word "settled" already? [3 marks] (b) Give a model program...

Our galaxy contains numerous molecular clouds, regions many light-years in extent in which the density is high enough and the temperature low enough for atoms to form into molecules. Most of the...

You are given the following information about two 10-year bonds. Both bonds have a face value of 100 and coupons are payable semi-annually, with the next coupon due in 1/2 year. Bond 1: 4% annual...

Requirement d . Alternative c results in a lower tax than either a or b . Why? A . By contributing the $ 7 comma 0 0 0 $ 7 , 0 0 0 in 2 0 2 4 2 0 2 4 , VeronicaVeronica is able to itemize deductions...

list the factors impacting upon pricing strategy development

a. When calculating a correlation coefficient between two quantitative variables, does it matter which is considered explanatory and which response? b. When calculating a least squares line between...

Is there an association between a teachers age and how far he or she lives from school? For each of the following descriptions, draw a scatterplot of hypothetical data for a sample of 10 teachers...

Suppose that you record the following information about 15 Major League Baseball games played next Saturday: A. Total number of runs scored in the game B. Whether or not the home team wins the game...

Course Name: Principles of Management (I don't want to copy and paste) I want a correct, complete, different and distinct solution, please 1. What is the underlying problem in this case from the...

A high school decided to hold a fundraiser and to make and sell scarves and tuques. Two classes were participating, one that would make the scarves, and the others the tuques. The teachers in the...

QUESTION 2 HNH Corporation is evaluating a new project with an expected life of 4 years. The project requires an investment in a new plant. HNH can either borrow the money to buy the plant or lease...