Question

General solution of the differential equation p=cos(y-xp)

Answer 1

Answer:

hope this helps you.

pls mark as brainliest.

Answer 2

Answer:

The general solution of the differential equation p= cos(y-xp)

Step-by-step explanation:

Given equation  $p=cos(y-xp)$

take  $cos ^{-1 }$ on both sides

⇒  $cos ^{ -1}p = cos ^{ -1} (cos(y-xp))$

⇒  $cos ^{-1 } p= y-xp$       [ $cos ^{ -1} (cos x) = x$ ]

⇒  $y-xp = cos^{ -1} p$

⇒   $y = xp + cos ^{ -1 } p$   which is a Clairaut's equation with constant p

here we will replace constant p with arbitrary constant c

⇒  $y= xc + cos ^{ -1} c$ is the general solution of equation  $p= cos(y-xp)$