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Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- 1. уу" + у' + ху %3D 0 2. у" — /у + 1%31? 3. Juxx + 2uxt + 3u, = 0 %3D 4. y' = (x + y + 1)² a²u 5. ax2 a²u = 2xy ду? 6. 2x + 2y + 2y' +1 = 0

Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- 1. уу" + у' + ху %3D 0 2. у" — /у + 1%31? 3. Juxx + 2uxt + 3u, = 0 %3D 4. y' = (x + y + 1)² a²u 5. ax2 a²u = 2xy ду? 6. 2x + 2y + 2y' +1 = 0

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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Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- 1. уу" + у' + ху %3D 0 2. у" — /у + 1%31? 3. Juxx + 2uxt + 3u, = 0 %3D 4. y' = (x + y + 1)² a²u 5. ax2 a²u = 2xy ду? 6. 2x + 2y + 2y' +1 = 0
Transcribed Image Text:Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- 1. уу" + у' + ху %3D 0 2. у" — /у + 1%31? 3. Juxx + 2uxt + 3u, = 0 %3D 4. y' = (x + y + 1)² a²u 5. ax2 a²u = 2xy ду? 6. 2x + 2y + 2y' +1 = 0
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