Q14 Show that the following differential equations are homogeneous and find their particular solutions :

1. x
   dy / dx
   sin(
   y / x
   ) +x -y sin
   y / x
   =0,given that x=1 when y= π/2
2. (x e^y/x+ y)dx=x dy,given that y=0 when x=1

Solution

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