This question is about formation of P.D.E.
asked May 18 in Calculus Answers by Sajid

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Q. Obtain the partial differential equation by eliminating the arbitrary constant from the relation u=ax+(1-a)y+b

 

There are two arbitrary constants here, a and b.

 

Differentiating u wrt x,

u/ꝺx = a

Differentiating u wrt y,

ꝺu/ꝺy = (1-a)

u/ꝺy + a = 1

Substituting for a = ꝺu/ꝺx,

u/ꝺx + ꝺu/ꝺy = 1

 

answered May 18 by Fermat Level 11 User (76,040 points)
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