Find solution (y + x) dx + x dy = 0

1.	Find solution (y + x) dx + x dy = 0
Answer» (y+x) dx + x dy = 0 ⇒ (y dx + x dy) + x dx = 0 ⇒ ∫(y dx + x dy) + ∫x dx = c (By integrating both sides) ⇒ ∫d(xy) + x²/2 = c ⇒ xy + x²/2 = c which is solution of given differential equation.

Answer»

(y+x) dx + x dy = 0

⇒ (y dx + x dy) + x dx = 0

⇒ ∫(y dx + x dy) + ∫x dx = c (By integrating both sides)

⇒ ∫d(xy) + x²/2 = c

⇒ xy + x²/2 = c which is solution of given differential equation.

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Find solution (y + x) dx + x dy = 0

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