Question

Solve (2x-y +1) dx + (2y-x-1) dy =
0
​

Answer 1

Answer:

The general solution of (2x−y+1)dx+(2y−x+1)dy=0 is:

A

x2+y2+xy−x+y=c

B

x2+y2−xy+x+y=c

C

x2−y2+2xy−x+y=c

D

x2−y2−2xy+x−y=c

Answer

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

x2+y2−xy+x+y=c

Answer 2

Step-by-step explanation:

step by step instructions and explanation