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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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I need help answering 7 & 9

Transcribed Image Text:In Problems 1-10 state whether the given differential equations are linear or
nonlinear. Give the order of each equation.
1. (1-x)y" - 4xy' + 5y = cos x
3. yy' + 2y = 1 + x²
5. x³y(4) - x²y" + 4xy' - 3y = 0
dy
dx
9.) (sin x)y"" - (cos x)y' = 2
7.
=
d²y
dx²
1 +
2. x
6.
d³y dy
dx³
8.
1
2(1x)*
dx
4. x² dy + (y - xy - xe¹) dx = 0
d²y
dx²
d²r
k
dt2
p²
2
10. (1 - y²) dx + x dy = 0
+ y = 0
=
+ 9y = sin y
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