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Classify the following second-order partial differential equation (pde): dze + y дхду + x- dx2 ду? Show it graphically the values of x and y to make the pde elliptic, parabolic or hyperbolic.

Classify the following second-order partial differential equation (pde): dze + y дхду + x- dx2 ду? Show it graphically the values of x and y to make the pde elliptic, parabolic or hyperbolic.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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already i asked the same question, but there is mistakes while subsituting the values. please also i want detail about how to graph it.

thanks.

s2 - 4RT > 0 s2 - 4RT < 0 1. Hyperbolic 2. Elliptic 3. s2 - 4RT = 0 Parabolic From the equation 1, R = x, S = x, T = y s? – 4RT = x? - 4x?y. %3D
Transcribed Image Text:s2 - 4RT > 0 s2 - 4RT < 0 1. Hyperbolic 2. Elliptic 3. s2 - 4RT = 0 Parabolic From the equation 1, R = x, S = x, T = y s? – 4RT = x? - 4x?y. %3D
Classify the following second-order partial differential equation (pde): + x + y dx2 дхду ду? Show it graphically the values of x and y to make the pde elliptic, parabolic or hyperbolic.
Transcribed Image Text:Classify the following second-order partial differential equation (pde): + x + y dx2 дхду ду? Show it graphically the values of x and y to make the pde elliptic, parabolic or hyperbolic.
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