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" 8."x(dy)/(dx)+y log y=xye^(x)...

" 8."x(dy)/(dx)+y log y=xye^(x)

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x(dy)/(dx)+y ln y=xye^(x)

The solution of x (dy)/(dx) + y log y = xy e^(x) is

(i) x(dy)/(dx)+y=log x

Find (dy)/(dx) , if y =(log x)^(x) + (x)^(log x)

Solve (dy)/(dx)=(y)/(2y log y+y-x).