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Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- Note: Answer (Six) only 1. yy"+y' + xy = 0 2. y"√√y' + 1 = t² 3. Uxx + 2uxt+3u₁ = 0 4. y' = (x + y + 1)² 5. 0² += 2xy 6. 2x+2y + 2y' + 1 = 0 7. x+y -yax = x dx dx 8. 5xy 4(y)²y = x -

Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- Note: Answer (Six) only 1. yy"+y' + xy = 0 2. y"√√y' + 1 = t² 3. Uxx + 2uxt+3u₁ = 0 4. y' = (x + y + 1)² 5. 0² += 2xy 6. 2x+2y + 2y' + 1 = 0 7. x+y -yax = x dx dx 8. 5xy 4(y)²y = x -

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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Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- Note: Answer (Six) only 1. yy"+y' + xy = 0 2. y" y' + 1 = t² V 3. Uxx +2uxt + 3u₁ = 0 4. y' = (x + y + 1)² a²u อ2u 5. + = 2xy Əy² əx² 6. 2x + 2y + 2y' + 1 = 0 dy dy 7. x + y = x dx dx 8. 5xy - 4(y)'y = x
Transcribed Image Text:Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and Homogeneity):- Note: Answer (Six) only 1. yy"+y' + xy = 0 2. y" y' + 1 = t² V 3. Uxx +2uxt + 3u₁ = 0 4. y' = (x + y + 1)² a²u อ2u 5. + = 2xy Əy² əx² 6. 2x + 2y + 2y' + 1 = 0 dy dy 7. x + y = x dx dx 8. 5xy - 4(y)'y = x
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