5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
4. y' = (x + y + 1)²
a²u a²u
5.
əx²
+ = 2xy
Əy²
6. 2x + 2y + 2y' + 1 = 0
dy
dy
7. x²
+ yax
= x
dx
8. 5xy - 4(y)'y = x
uxx+2uxt + 3u₁ = 0
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. 4. y' = (x + y + 1)² a²u a²u 5. əx² + = 2xy Əy² 6. 2x + 2y + 2y' + 1 = 0 dy dy 7. x² + yax = x dx 8. 5xy - 4(y)'y = x uxx+2uxt + 3u₁ = 0
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