Question

Sovle (2x+y+1) dx+(x+2y+1) dy=0​

Answer 1

Answer:

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Step-by-step explanation:

Given differential equation is

(2x−y+1)dx+(2y−x+1)dy=0

⇒2x dx+2y dy−(y dx+x dy)+dx+dy=0

⇒(2x dx+2y dy)−d(xy)+dx+dy=0

On integrating both sides, we get

x

2

+y

2

−xy+x+y=c