State the order of the given ordinary differential equation, and classify it as linear or non-linear. p²q-q sin(p) eap e. -9sinh(at) = -z"" - az't-² f. r" = -a5x+rsin(rx) g. y'x² + y" = 2 - x² cos(y) d5q d. tan(2q) dp5 = Note: The symbols a and b are non-zero constants. • If a variable appears alone in parenthesis immediately after the symbol for the function (or one of its derivatives), then the parenthesis does not indicate multiplication. The parentheses indicate that the variable is the independent variable of the function. ●
State the order of the given ordinary differential equation, and classify it as linear or non-linear. p²q-q sin(p) eap e. -9sinh(at) = -z"" - az't-² f. r" = -a5x+rsin(rx) g. y'x² + y" = 2 - x² cos(y) d5q d. tan(2q) dp5 = Note: The symbols a and b are non-zero constants. • If a variable appears alone in parenthesis immediately after the symbol for the function (or one of its derivatives), then the parenthesis does not indicate multiplication. The parentheses indicate that the variable is the independent variable of the function. ●
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
Please state the order of the highest order derivative (as a number also) THank you.
Transcribed Image Text:State the order of the given ordinary differential equation, and classify it as linear or non-linear.
q
d. tan(2q)
dp5
=
p²q-q sin(p)
eap
e. −9sinh(at) = −z"" – az't-²
f. r″ = −a³x+rsin(rx)
g. y'x² + y = 2 - x² cos(y)
Note:
The symbols a and b are non-zero constants.
If a variable appears alone in parenthesis
immediately after the symbol for the function (or
one of its derivatives), then the parenthesis does not
indicate multiplication. The parentheses indicate
that the variable is the independent variable of the
function.
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