Determine the independent variable, dependent variable, parameter, order, and linearity of the following differential equations DIFFERENTIAL EQUATION IV DV P ORDER LINEAR/NON-LINEAR 1. x + (y – C)y' = 0 F dx =t + Bx x dt d²x dt? d?x dx 3. Gtx =t + K dt? dr 4. y" - y" = Ay - tan(x-a) d²y 5. - Ay = Inx dx2 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine the independent variable, dependent variable, parameter, order,
and linearity of the following differential equations
DIFFERENTIAL EQUATION
IV
DV
P
ORDER LINEAR/NON-LINEAR
1.
x + (y – C)y' = 0
F dx
= t + Bx
x dt
d²x
dt?
d?x
dx
Gtx =t
+ K
dr
3.
dt?
4. y" - y" = Ay - tan(x-a)
d²y
5.
– Ay = lnx
dx2
2.
Transcribed Image Text:Determine the independent variable, dependent variable, parameter, order, and linearity of the following differential equations DIFFERENTIAL EQUATION IV DV P ORDER LINEAR/NON-LINEAR 1. x + (y – C)y' = 0 F dx = t + Bx x dt d²x dt? d?x dx Gtx =t + K dr 3. dt? 4. y" - y" = Ay - tan(x-a) d²y 5. – Ay = lnx dx2 2.
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