" (b) "sin^(-1)[(dy)/(dx)]=x+y

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Solve: (i) sin^(-1)((dy)/(dx))=x+y (ii) (dy)/(dx)=cos(x+y) (iii) (dy)/(dx)=(4x+y+1)^2

(dy)/(dx)=sin(x+y)

(dy)/(dx)=sin(x-y)

The solution of sin^(-1)((dy)/(dx)) = y + x is

(dy)/(dx)+y=sin x

The solution of cos y + (x sin y-1) (dy)/(dx) = 0 is

(dy)/(dx)=sin (x+y)