dx (d) (e) +1 edz dt dr dt dt - 3x²=0. +z=0.

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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1) Determine whether or not the following differential equations has a periodic solution.

Do only subparts d and e

dx
dt
+
dr
- (4) **
dt
(d)
(e)
+z=0.
3. Show that any differential equation of the form
dx
-1) +
dt
edz
dt
d²1
dt
-3r² = 0.
dr
dt
·+b(1²-1)
+cr=0, (a,b,c> 0)
can be transformed into the van der Pol equation by a change of the
independent variable.
Transcribed Image Text:dx dt + dr - (4) ** dt (d) (e) +z=0. 3. Show that any differential equation of the form dx -1) + dt edz dt d²1 dt -3r² = 0. dr dt ·+b(1²-1) +cr=0, (a,b,c> 0) can be transformed into the van der Pol equation by a change of the independent variable.
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