Please answer me and don't Chang subject The general solution for Legendre equation(9 – 2²)y" – 2ry' + n(n + 1)y = 0 isO y(z) = C1Y1(1/3) + c2Y2(x/3)O y(z) = c1y;(z² /3) + c»Y2(x*/3)O y(x) = c¡Y1(3z) + C2Y2(3x)O y(z) = c1Y1(3x²) + c2y2(3x²)O none

Name: Please answer me and don't Chang subject The general solution for Lege
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please answer me and don't Chang subject The general solution for Legendre equation(9 – 2²)y" – 2ry' + n(n + 1)y = 0 isO y(z) = C1Y1(1/3) + c2Y2(x/3)O y(z) = c1y;(z² /3) + c»Y2(x*/3)O y(x) = c¡Y1(3z) + C2Y2(3x)O y(z) = c1Y1(3x²) + c2y2(3x²)O none

Given the given Legendre equation is 9-x2y"-2xy'+nn+1y=0

Math

Advanced Math

The general solution for Legendre equation (9 – z)y" – 2ry' + n(n + 1)y = 0 is O y(z) = c1Y1(/3) + c2Y2(x/3) O y(z) = c1Y1(x? /3) + c»Y2(x*/3) O y(z) = cY1(3z) + Cy2(3x) O y(r)= c1y1 (3x") + c2y2(3x²?) O none

The general solution for Legendre equation (9 – z)y" – 2ry' + n(n + 1)y = 0 is O y(z) = c1Y1(/3) + c2Y2(x/3) O y(z) = c1Y1(x? /3) + c»Y2(x*/3) O y(z) = cY1(3z) + Cy2(3x) O y(r)= c1y1 (3x") + c2y2(3x²?) O none

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 2. Use Euler method to compute ys for the DE yy'=2x for y(1)=3

Q: y" + 2y' – 3y = 0

Q: 2. Find a homogeneous linear equation with real, constant coefficients that is satisfied by: y = 6 +…

Q: x3 2.

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y'= eV1--, y(0) = 0…

Q: 5. For the system of differential e rx + 2y 3x+ry figure out all the possible types of equilibrium…

A: The matrix form of the given system of differential equations is x^'=Ax^, with A=r33r, x^=xy.

Q: Differential equation in Q3(a) is added with 4e"*and 10e’* as Y, =6y, + y; +4e" Y; =5y, +2y, +10e"*…

Q: Consider the system a = x1 + x2 a = 4x1 – 3r2 with initial conditions a1(0) = 1 and r2(0) = 2.…

A: See the attachment

Q: A 2nd order homogenous LDE has a solution xe-3x Find its general solution.

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

Q: у +3у-еX denkleminin genel ҫozйтйпй bulunuz. a. y = e^(-3x)/6 + ce^(-3x) O b. y = e^(3x)/6 +…

A: The given differential equation is y'+3y=e3x…

Q: - y" + 5y' = 0

Q: A researcher wants to analyze the effect of a variable x on another variable y using observations…

A: Given the estimated model for the variables x and y as I yi=β1+β2xi+ei II yi=β1+γ1ri+β2xi+γ1xi…

Q: 10. Use separation of variables to find, if possible, product solutions for the partial differential…

Q: Find general solutions of the differential equations . Primes denote derivatives with respect to x…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = eV1--, y(0) = 0…

A: Existence of solution If f is continuous on an open rectangular interval R{a<x<b,c<y<d}…

Q: 2. (16 points) Consider the non- homogeneous first-order linear differential system V = yı + y2 4 =…

Q: 10- All bounded solution of differential equation is a- stable b- unstable c- neither (a) nor (b).

A: The solution is given below

Q: Attached below is a description and the necessary differential equations systems problem. What is…

A: Questions from differential equations.

Q: 1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when…

Q: 5. Obtain the particular solution. y'"-2 y'+2 y=3e" cos 2x; when x 0, y=2,y'=3

Q: Solution: y1 = 1.200000000; y2 =2.085625000; y3 = 3.079099746

A: Here, initial condition is given at x = 2.Therefore, start with x0 = 2.Given equation is:

Q: Show two attempts of the shooting method on the two-point boundary value problem for dy 3x, the…

A: Consider the provided question, d2ydx2=3x, 0<x<1and y0=0 and y1=1

Q: Find the general solution of the Cauchy-Euler equation: X^3y’’’ - x^2y’’ + 2xy’ - 2y = x^3

Q: The 4th order of Runge-Kutta method is said to have less accuracy and efficiency than simple Euler's…

A: The Given Statement is True . The 4th order Runge- kutta have less accuracy and efficiency compared…

Q: a2z a2z Find the solution of the partial differential equation- 8- %3D - ax2 by variable separable…

A: Assume that the function z is product of two functions of only x or y: z=XxYy. Substituting this in…

Q: 6y" – y' – y = 0

Q: 3. Determine a general solution to the Cauchy-Euler equation y (2) - 2y(z) = 3r-1, z>0. %3D

Q: 1. 2xy'+ xy'+ (x² 3) y=O a) Show thet a regulor singulerity Xa>0 is point. 6) Use froteniaw method…

A: (a) Given equation, We know that,

Q: 9. Form the differential equation of the three-parameter family of conics y = ae* + be2x + ce¬3x…

Q: In each problem, obtain the differential equation of the family of plane curves described and sketch…

A: As per the guidelines we are suppose to answer only first question. Please repost the remaining…

Q: y" – 2y – 2y = 0

A: Given: y''-2y'-2y=0 -2yx-2ddxyx+d2dx2yx=0 The differential equation has the form:…

Q: 6. Show that y(x) = Inx is a solution of xy" +y' = 0 on interval (0, 00) but is not a solution on…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' eV1 guaranteed by…

Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: 6. Classify any critical points of the first-order autonomous differential equation = x – 3x + 2 as…

Q: 8. Consider the given nonlinear system of differential equations: x' = 60x – 3x – 4xy, = 42y – 3y –…

A: Given that the nonlinear system of differential equations x'=60x -3x2-4xy, y1 = 42y - 3y2 -2xy has a…

Q: y" - 5y'=x-2, when x = 0, y = 0, y = 2

Q: 28. A trajectory for a system of differential equations with nullcline in below figure conditions x…

A: we have to solve the differential equation.

Q: Compute the general solution valid near the origin ((+4x² )y" - By = O 'y= s{1 - 4x°) + a»\x=…

Q: (a) Find the general solution of the equation (x – 2) y dr 3(х — 1) -y3 1 - (x + 1) (b) Given the…

A: A first-order linear ordinary differential equation(ODE) is of the form y'(x)+p(x)y=q(x). The…

Q: 6. A thin homogeneous metal bar of length 20cm. and made of material with thermal diffusivity 5cmls…

Q: 22- Use Seidal iterative method to solve the following system cos(x)+y-xe" 0, y-sin(x)3D2 Start with…

Q: > Reduce the fellouing partial diffrential equation ith constant cobficients into canmonical form…

A: A=4, B=5, C=1, then B2-4AC=25-16=9>0 So, the given pde is the hyperbolic pde. Step 1: We will…

Q: Suppose that y1=e^x and y2=e−x are two solutions of a homogeneous linear equations. Explain why…

Q: 5. Determine the differential equation of minimum possible order linear homogeneous differential…

Q: 16-30 INTEGRATION Integrate by a suitable method: 16. 4z3 + 2z from -i to 2 + i along any path

A: Given function is f(z) = 4z3 + 2z

Topic Video

Question

Please answer me and don't Chang subject

The general solution for Legendre equation
(9 – 2²)y" – 2ry' + n(n + 1)y = 0 is
O y(z) = C1Y1(1/3) + c2Y2(x/3)
O y(z) = c1y;(z² /3) + c»Y2(x*/3)
O y(x) = c¡Y1(3z) + C2Y2(3x)
O y(z) = c1Y1(3x²) + c2y2(3x²)
O none

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated