DE 2 1. xy(5)-(4) + x²y"" = 2yy' 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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answer no. 1 only

I. 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 that
make/s the DE nonlinear
DE
1. xy(5) (4) + x²y = 2yy
dz
ox
2.
= y
5.
2رة
3. (1-x3, d²y
dx²
4. _{√/(1+y″)² = [2x²y³ +(v″)†‡
+ (sin x)y'-3xy = ln x(+1)
a³w o²w
dz
oxdy
2
+ 2y tan w = 0
TYPE
ORDER DEGREE LINEARITY
Transcribed Image Text:I. 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 that make/s the DE nonlinear DE 1. xy(5) (4) + x²y = 2yy dz ox 2. = y 5. 2رة 3. (1-x3, d²y dx² 4. _{√/(1+y″)² = [2x²y³ +(v″)†‡ + (sin x)y'-3xy = ln x(+1) a³w o²w dz oxdy 2 + 2y tan w = 0 TYPE ORDER DEGREE LINEARITY
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