Show that you have reasoned about the problem a way that is correct and based onthe ideas 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

A equation is exact if it satisfies differential, df=0 Explanation follows

Answered: Question 2. Find all functions A and B…

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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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