Question

obtain general and singular solution of the equation sinpx*cosy=cospx*siny+p​

Answer 1

Answer:

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Step-by-step explanation:

The given differential equation is

sin y cos Px – cos y sin Px – P = 0

sin(y – Px) = P

(y – Px) = sin–1(P)

y = Px + sin–1(P)

which is a Clairaut differential equation.

Hence, the solution is

y = cx + sin–1(c)