Show that y = x 1/2 w(2/3 x 3/2 ) is a solution of Airys differential equation
Question:
Show that y = x1/2 w(2/3 αx3/2) is a solution of Airy’s differential equation y'' + α2xy = 0, x > 0, whenever w is a solution of Bessel’s equation of order 1/3, that is, t2w'' + tw' + (t2 – 1/9)w = 0, t > 0. After differentiating, substituting, and simplifying, then let t = 2/3 αx3/2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 91% (12 reviews)
To show that y x12 w23 x32 is a solution of Airys differential equation y 2xy 0 we can differ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Show that y = x x1 is a solution of the differential equation xy` + y = 2x.
-
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...
-
Show that (9) in Sec. 12.6 with coefficients (10) is a solution of the heat equation for t > 0 assuming that f(x) is continuous on the interval 0 ¤ x ¤ L and has one-sided derivatives...
-
Which sensing structure helps a company test and make sense of new ideas generated through other types of sensing? Social listening Crowdsourcing Blue ocean Pilot test
-
Suppose that where L > 0, and that Show that If L = 0, show by example that this conclusion may fail. limf(x) = L
-
If an experiment consists of throwing a die and then drawing a letter at random from the English alphabet, how many points are there in the sample space?
-
4. Students are now suing schools for sexual harassment. The cases raise important issues about the limits of discovery. In a case in Petaluma, California, a girl claimed that she was harassed for...
-
The Wal-Mart retail chain sells standardized items and enjoys great purchasing clout with its suppliers, none of which it owns. The Limited retail chain sells fashion goods and owns Mast Industries,...
-
The marketing department of Jessi Corporation has submitted thefollowing sales forecast for the upcoming fiscal year (all salesare on account):1st Quarter2nd Quarter3rd Quarter4th Quarter 2 answers
-
1. What is the difference between a rate of change and an average rate of change? 2. Give the formula for calculating average rate of change and answer Try it Now #1. Use the cost of gas function...
-
In Example 4 of Section 5.2 we saw that when a constant vertical compressive force or load P was applied to a thin column of uniform cross section, the deflection y(x) was a solution of the...
-
In problem proceed as in Example 4 and find a power series solution
-
Is 2 rational or irrational? Give a convincing argument to support your answer.
-
Under coordination of benefits, the patient may receive payment from multiple carriers, but the total received may not be more than ____% of the actual dental expenses. Group of answer choices 85 90...
-
2) Let X and Y be jointly continuous random variables with probability density function given by: (x+y) for 0 < < 3, and 0 < y <1 f(x, y) = 0 otherwise a) Find oxy. (/2) b) Find E(Xy). (/2) c) Use...
-
The balance sheet for the Delphine, Xavier, and Olivier partnership follows: Cash $ 6 0 , 0 0 0 Liabilities $ 4 0 , 0 0 0 Noncash assets 1 0 0 , 0 0 0 Delphine, capital 6 0 , 0 0 0 Xavier, capital 4...
-
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $180,000. Assume the...
-
Perfect Pet Food, Inc., is a premier manufacturer of both canned and dry food for cats and dogs of all ages and breeds.Located in Kansas City, Kansas, the firm has recently expanded its service area...
-
A rectangular area is to be enclosed and divided into thirds. The family has $800 to spend for the fencing material. The outside fence costs $10 per running foot installed, and the dividers cost $20...
-
1. As a general strategy, would you recommend that Carl take an aggressive approach to capacity expansion or more of a wait-and-see approach? 2. Should Carl go with the option for one facility that...
-
If A, B are two events such that A = {older child is affected}, B = {younger child is affected}, then are the events A, B independent? Genetics Suppose that a disease is inherited via a dominant mode...
-
What is the probability that in a family with two children, both siblings are affected? Suppose that a disease is inherited via an autosomal recessive mode of inheritance. The implications of this...
-
What is the probability that exactly one sibling is affected? Suppose that a disease is inherited via an autosomal recessive mode of inheritance. The implications of this mode of inheritance are that...
-
Just need the answer to 6B, someone already gave me the wrong answer.. Northwood Company manufactures basketballs. The company has a ball that sells for $25. At present, the ball is manufactured in a...
-
Please include the formula.. 1 Assignment #1 Its For the Beans, new coffee shop, has opened on campus. Janice. the manager, purchased a new software package that will help Its For the Beans keep...
-
Need assistance. Tracie Corporation manufactures and sells women's skirts. Each skirt (unit) requires 2.2 yards of cloth. Selected data from Tracie's master budget for next quarter are shown below:...
Study smarter with the SolutionInn App