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log((dy)/(dx))=2x+3y...

log((dy)/(dx))=2x+3y

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log((dy)/(dx))=2x+3 A) y=log(2x+3)+c B) 2y=e^(2x+3)+c C) sqrty=log(2x+3)+c D) 2e^(y)+3=logy+c

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y dx+x log((y)/(x))dy-2x dy=0

Find the particular solution of log (dy/dx)= 2 x + 3y given that x = 0, y= 0 .

x log x(dy)/(dx) + y = (2)/(x)log x

x log x(dy)/(dx) + y = (2)/(x)log x