ii) (2x - 3e²y sin 3x) -2e²y cos 3x=0 dx dy dy y · (x + ln x+e³) + y + == 0 dx iii) P
ii) (2x - 3e²y sin 3x) -2e²y cos 3x=0 dx dy dy y · (x + ln x+e³) + y + == 0 dx iii) P
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:a) For the following ODEs, test if they are exact. Please show your procedure.
Transcribed Image Text:ii) (2x - 3e²y sin 3x) +2e²ycos3x=0
dx
dy
dy
dx
y
iii) (x + lnx + @³) + y + x = 0
X
b) Solve the following exact ODE: 2x − -
-
+
e dy
x² x dx
=0 with the initial condition y(1) = ln 2.
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