Question

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

Answer 1

Answer on Question #68400 – Math – Differential Equations

Question

Obtain the partial differential equation by eliminating the arbitrary constant from the relation

$$u = a x + (1 - a) y + b$$

Solution

$$u = a (x - y) + y + b$$ $$u _ {y} ^ {\prime} = 1 - a$$

Answer: $u_y' = 1 - a$ .

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