and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...

Question

Question

Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y).

and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

습t(r-a)鹗.nu: 1, U.ufyrY) 나 ghon PDE, ttnce-Re poblern îs -saknd

Add a comment

Answer 2

Similar Homework Help Questions

2. Classify each of the following as elliptic, hyperbolic or parabolic: 30'u 4 d’u du (a)...

2. Classify each of the following as elliptic, hyperbolic or parabolic: 30'u 4 d’u du (a) 'ox? -*əxəy +8y= y | 4 d’u, d’u. u du du (b) or oray+y) =0 (3,4)
Find the volume of the following solid regions. The solid bounded by the parabolic cylinder z...

Find the volume of the following solid regions. The solid bounded by the parabolic cylinder z = x2 +1, and the planes z = y + 1 and y = 1
d1= 3 and d2= 2 Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies initial condit...

d1= 3 and d2= 2 Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies initial condition u(0,0) Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies...

Problem 1. Find the type, transform to normal form, and solve the following PDEs. (1) uxx...

Problem 1. Find the type, transform to normal form, and solve the following PDEs. (1) uxx – 16uyy = 0 - 2uxy + (2) Uxx Uyy = 0 (3) Uxx + 5uxy + 4uyy = 0 (4) Uxx – 6uxy + 9uyy = 0 Sample Solution for Problem 1(1): Hyperbolic, wave equation. Characteristic equation y'2 – 16 = (y' + 4)(y' – 4) = 0. New variables are v = 0 = y + 4x, w = y = y...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...

1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0 1. Consider the Partial Differential Equation ot u(0,t) =...
2.. Find general solutions of the following PDEs for u = u(x,y) by using ODE techniques....

2.. Find general solutions of the following PDEs for u = u(x,y) by using ODE techniques. (a) ux-2u = 0 (c) ux + 2xu = 4xy (d) yuxy + 2ux-x (Hint. First integrate with respect to x.) (b) yuy + u=x (e) uyy-Au=0.

Helpful Formulas: * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful...

Helpful Formulas: * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz = * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series...
(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z =...

(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0 (3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0
Consider the surface whose equation is z = -2(y+1)^2 + (x+1)^2 - 1 i) determine a...

Consider the surface whose equation is z = -2(y+1)^2 + (x+1)^2 - 1 i) determine a surface of the form (*) whose graph you can translate, rotate, or reflect to obtain the graph of the given surface. Provide the steps one would follow to manipulate the graph of your surface to get the graph of the given surface. Form could be Ellipsoid, Cone, Elliptic Paraboloid, Hyperboloid of One sheet, Hyperbolic paraboloid, and Hyperboloid of two sheets.

#4 Problem 1 Find the general solution for the given differential equation Problem 2 Solve the d.e. y(4)2y(3) +2y() 3et +2te- +e-sint. Problem 3 Determine the second, third and fourth derivative o...

#4 Problem 1 Find the general solution for the given differential equation Problem 2 Solve the d.e. y(4)2y(3) +2y() 3et +2te- +e-sint. Problem 3 Determine the second, third and fourth derivative of φ(zo) for the given point xo if y = φ(z) is a solution of the given initial-value problem. ·ry(2) + (1 +z?)y(1) + 31n2(y) = 0; y(1) = 2, y(1)(1)-0 yay) + sina()0: y(0)()a Problem 4 Using power series method provide solution for the d.e. Problem 5 Using...

and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...

Homework Answers

Add Answer to:
and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...

Post as a guest

Earn Coins

2. Classify each of the following as elliptic, hyperbolic or parabolic: 30'u 4 d’u du (a)...

Find the volume of the following solid regions. The solid bounded by the parabolic cylinder z...

d1= 3 and d2= 2 Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies initial condit...

Problem 1. Find the type, transform to normal form, and solve the following PDEs. (1) uxx...

1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...

2.. Find general solutions of the following PDEs for u = u(x,y) by using ODE techniques....

Helpful Formulas: * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful...

(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z =...

Consider the surface whose equation is z = -2(y+1)^2 + (x+1)^2 - 1 i) determine a...

#4 Problem 1 Find the general solution for the given differential equation Problem 2 Solve the d.e. y(4)2y(3) +2y() 3et +2te- +e-sint. Problem 3 Determine the second, third and fourth derivative o...

and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...

Homework Answers

Add Answer to: and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...

Post as a guest

Earn Coins

Add Answer to:
and determine in which regions the given PDE’s are elliptic/ hyperbolic/ parabolic Problem 3 Find all solution of the following PDEs 1. 2. --= y, u=u(z, y). Problem 3 Find all solution of th...