Find the particular solution of
`log((dy)/(dx))=3x-5y`

Find the particular solution of : (i) log(dy/dx)=2x+y (ii) log(dy/dx)=ax+by , given that y=0 when x=0 .

log_(e)((dy)/(dx))=3x-5y

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

Find the particular solution of (dy)/(dx)=e^(4x-3y) , given y=0 when x=0

Find the particular solution of the following : (dy)/(dx)=x^(3) cosec y , given that y(0)=0 .

Find the particular solution of the following : (dy)/(dx)= (x(2 log x + 1))/(sin y + y cos y) , given that y= pi/2 , when x=1 .

Find the particular solution of (x-y)(dx+dy)=dx-dy, given y=1, when x=0