State the order of the given ordinary differential equation. cosh(3/y) - 16ln(10y)y" = 9cos(5yx) - y10y' + 8x (type your answer as a number in the space provided below)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
State the order of the given ordinary differential equation.
cosh(3/y) - 16ln(10y)y" = 9cos(5yx) - y10y' + 8x
(type your answer as a number in the space provided below)
Transcribed Image Text:State the order of the given ordinary differential equation. cosh(3/y) - 16ln(10y)y" = 9cos(5yx) - y10y' + 8x (type your answer as a number in the space provided below)
Determine whether the following ordinary differential equation
is linear or nonlinear by matching it with the differential equation
cosh(3/y) - In(7y)y" = 11cos(4yx) - y³y' + 9x
d"y
a,(x)-
dx"
dn-ly
+a,-1(x)-
dx"-1
+... +a (x) + ao(x)y = g(x)
dx
O Linear
O Nonlinear
Transcribed Image Text:Determine whether the following ordinary differential equation is linear or nonlinear by matching it with the differential equation cosh(3/y) - In(7y)y" = 11cos(4yx) - y³y' + 9x d"y a,(x)- dx" dn-ly +a,-1(x)- dx"-1 +... +a (x) + ao(x)y = g(x) dx O Linear O Nonlinear
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