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MIDTERM EXAMINATION III, MATH 2573H (FALL 2010) Problem 1 (10 points)
 

Summary: MIDTERM EXAMINATION III, MATH 2573H (FALL 2010)
ANSWER KEY
Problem 1 (10 points)
Find all the functions f(x, y) such that
f(x, y) = (3x2
y + y4
, x3
+ 4xy3
),
if any.
Solution
f(x, y) = (3x2
y + y4
) dx = x3
y + y4
x + C(y).
f(x, y) = (x3
+ 4xy3
) dy = x3
y + xy4

  

Source: Anderson, Greg W. - School of Mathematics, University of Minnesota

 

Collections: Mathematics