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We have written the given differential equation in the form M(x, y) dx + N(x, y) dy=0 where M and N are as follows. M(x, y) = y-xe-6x² N(x, y) = x Find the partial derivatives. 3M ay an ax Therefore, for the partial derivatives of the coefficient functions we have. Skip (you cannot come back) Since the partials-Select- equal and -Select- continuous everywhere, the equation -Select- exact.

We have written the given differential equation in the form M(x, y) dx + N(x, y) dy=0 where M and N are as follows. M(x, y) = y-xe-6x² N(x, y) = x Find the partial derivatives. 3M ay an ax Therefore, for the partial derivatives of the coefficient functions we have. Skip (you cannot come back) Since the partials-Select- equal and -Select- continuous everywhere, the equation -Select- exact.

Advanced Engineering Mathematics
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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Step 2 We have written the given differential equation in the form M(x, y) dx + N(x, y) dy = 0 where M and N are as follows. M(x, y) = y 8xe* - 6x² N(x, y) = x Find the partial derivatives. am ?у ÔN ax ƏM Therefore, for the partial derivatives of the coefficient functions we have Submit Skip (you cannot come back) an 8x Since the partials ---Select--- equal and ---Select--- continuous everywhere, the equation --Select--- exact.
Transcribed Image Text:Step 2 We have written the given differential equation in the form M(x, y) dx + N(x, y) dy = 0 where M and N are as follows. M(x, y) = y 8xe* - 6x² N(x, y) = x Find the partial derivatives. am ?у ÔN ax ƏM Therefore, for the partial derivatives of the coefficient functions we have Submit Skip (you cannot come back) an 8x Since the partials ---Select--- equal and ---Select--- continuous everywhere, the equation --Select--- exact.
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