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 + sin y) dy = 0 (b) (ex+xB (y)) dx + (e³ + x² cosy) dy = 0 and

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 2. Find all functions A and B such that the following equations are Exact.
Do Not solve the ODE.
and
(a) (sinx+x²y³) dx + (A(x)y² + siny) dy
= 0
(b) (ex+xB(y)) dx + (e³ + x² cos y) dy
= 0
Transcribed Image Text:Question 2. Find all functions A and B such that the following equations are Exact. Do Not solve the ODE. and (a) (sinx+x²y³) dx + (A(x)y² + siny) dy = 0 (b) (ex+xB(y)) dx + (e³ + x² cos y) dy = 0
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