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Notations: p =- ôy дх ду a) Classify the following partial differential equations by type (homogeneous or nonhomogeneous), order and degree. i) r-4s + 4t = e²*+y ii) (2D -5DD' + 2D² )z = 5sin(2.x + y) ii) r+2s +t +2p+ 2q+z = 0 %3D

Notations: p =- ôy дх ду a) Classify the following partial differential equations by type (homogeneous or nonhomogeneous), order and degree. i) r-4s + 4t = e²*+y ii) (2D -5DD' + 2D² )z = 5sin(2.x + y) ii) r+2s +t +2p+ 2q+z = 0 %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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a z dz Notations: p =- дх ду a) Classify the following partial differential equations by type (homogeneous or nonhomogeneous), order and degree. i) r- 4s + 41 = e²*+y ) (2D² – 5DD' + 2D² )z = 5sin(2x + y) ii) r+ 2s +t+2p+ 2q+ z = 0 ii) b) Solve the following partial differential equations by Lagrange's method. i) (xz+ y° )p + (yz – 2x² )q+ 2xy + z² = 0 ii) (x² +2y²) p– xyq = xz
Transcribed Image Text:a z dz Notations: p =- дх ду a) Classify the following partial differential equations by type (homogeneous or nonhomogeneous), order and degree. i) r- 4s + 41 = e²*+y ) (2D² – 5DD' + 2D² )z = 5sin(2x + y) ii) r+ 2s +t+2p+ 2q+ z = 0 ii) b) Solve the following partial differential equations by Lagrange's method. i) (xz+ y° )p + (yz – 2x² )q+ 2xy + z² = 0 ii) (x² +2y²) p– xyq = xz
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