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" 14."(dy)/(dx)+y=sin x[" HSB "1992]...

" 14."(dy)/(dx)+y=sin x[" HSB "1992]

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

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

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

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

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

find(dy)/(dx) of y^(y)=sin x

(dy/dx)+(y/x)=sin x^(2)

x (dy)/(dx)-y+x sin (y/x)=0

sin x(dy)/(dx)+y=y^(2)

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