For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s in the 1st column that make/s the DE nonlinear ( 1. 2. DE xy(5) — ₁(4) + x²y = 2yy' o²w dz ox dy d²y dx² 3. (1-x³). -+ (sin x)y' - 3xy = ln x(+1) TYPE ORDER DEGREE LINEARITY
For each DE, identify the type, give the order, degree and determine whether linear or nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s in the 1st column that make/s the DE nonlinear ( 1. 2. DE xy(5) — ₁(4) + x²y = 2yy' o²w dz ox dy d²y dx² 3. (1-x³). -+ (sin x)y' - 3xy = ln x(+1) TYPE ORDER DEGREE LINEARITY
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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Question
Number 2 only
Transcribed Image Text:For each DE, identify the type, give the order, degree and determine whether linear or
nonlinear. If linear, indicate the variable where it is linear and if nonlinear, box the term/s in
the 1st column that make/s the DE nonlinear (
+
1.
2.
DE
***
xy(5) − y(4) + x²y = 2yy'
o²w
5.
dz
ox
= y-
dy
d²y
3. (1-x³).
dx²
4. √/α²+y^² = [2x²y³ + (®)ª É
-+ (sin x)y' — 3xy = ln x(+1)
a³w
a²w
dz³3 oxdy
+ 2y tan w = 0
TYPE ORDER
DEGREE LINEARITY
Dn
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