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 a²u a²u 5. = 2xy дх2 6. 2x + 2y + 2y' + 1 = 0 dy dy 7. x² + y² = = x dx dx 8. 5xy - 4(y)'y = x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
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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
a²u a²u
5.
+ = 2xy
əx² ay²
6. 2x + 2y + 2y' + 1 = 0
7. x+y=x
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 3. uxx +2uxt + 3u₁ = 0 4. y' = (x + y + 1)² a²u a²u 5. + = 2xy əx² ay² 6. 2x + 2y + 2y' + 1 = 0 7. x+y=x 8. 5xy - 4(y)'y = x
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,