Question 2. Find all functions A and B such that the following equations are Exact. Do Not solve the ODE. (a) (sin x + x²y³) dx + (A(x)y² + siny) dy = 0 (b) (ex+xB (y)) dx + (e² + x² cos y) dy = 0 and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show that you have reasoned about the problem a way that is correct and based on
the ideas
Question 2. Find all functions A and B such that the following equations are Exact.
Do Not solve the ODE.
(a) (sinx+x²y³) dx + (A(x)y² + siny) dy = 0
(b) (e²+xB(y)) dx + (e² + x² cos y) dy = 0
and
Transcribed Image Text:Show that you have reasoned about the problem a way that is correct and based on the ideas Question 2. Find all functions A and B such that the following equations are Exact. Do Not solve the ODE. (a) (sinx+x²y³) dx + (A(x)y² + siny) dy = 0 (b) (e²+xB(y)) dx + (e² + x² cos y) dy = 0 and
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