(Sec. 1.1, 1.2, 1.3, 2.2) 1. State the order of the given ordinary differential equation. Determine whether the equation is linear or nonlinear: 1 Fy(4)- y" + 6y = 0 %3D d²u du dr2 + u = cos(r + u) dr d'y dx 3 dx, 2.
(Sec. 1.1, 1.2, 1.3, 2.2) 1. State the order of the given ordinary differential equation. Determine whether the equation is linear or nonlinear: 1 Fy(4)- y" + 6y = 0 %3D d²u du dr2 + u = cos(r + u) dr d'y dx 3 dx, 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:06: Assignment-2
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ASSignment =
(Sec. 1.1, 1.2, 1.3, 2.2)
1. State the order of the given ordinary differential equation. Determine whether the
equation is linear or nonlinear:
1 y(4) -Py" + 6y = 0
%3D
d'u
du
+ u = cos(r+ u)
dr
dr2
可2--()
3.
dy
dx2
dx)
d²R
4
dt?
R
(sin 0)y"
(cos 0)y'
= 2
2. Solve the given differential equation by separation of variables.
1 (e 1)e dx (e )'e dy-0
x(1 + y)/2 dx = y(1 + x)2 dy
3. Find an explicit solution of the given initial-value problem.
dx
4(x +1). x(7/4) 1
dt
1
2 dy
dx
y sin x. y( 2)
近
5
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