Answer
$$ f(x,y)=x^2y+C$$
Work Step by Step
Take $$ f(x,y)=x^2y+C.$$
Taking the partial derivatives, we get the desired result:
$$ f_x=2xy, \quad f_y =x^2.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.3 Partial Derivatives - Exercises - Page 782: 73
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