Solve : (x + y) (dx – dy) = dx + dy.

Question:

Solve : (y) (dx – dy) = dx dy. [Hint: Substitute after separating dx and dy]

Solution:

Given differential equation, (y) (dx – dy) = dx dy

(x + y) dx – (x – y) dy = dx + dy

– (x + y) dy – dy = dx – (x + y) dx

– (x + y + 1) dy = – (x + y – 1) dx

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