" 12."quad 2ye^(bar(y))dx+(y-2xe^(bar(y)))dy=0,y(0)=1

Solve 2ye^(x/y)dx+(y-2xe^(x/y))dy=0

Find the particular solution of the following differential equations. 2ye^(x/y)dx+(y-2ex^(x/y))dy=0 ,when y(0)=1 .

Solve ye^(y)dx=(y^(3)+2xe^(y))dy

Show that the differential equation 2ye^(x)/(y) dx + ( y - 2xe^(x)/(y)) dy = 0 is homogeneous and find its particular solution, given that, x = 0 when y = 1.

Show that the differential equation 2ye^(x)/(y) dx + ( y - 2xe^(x)/(y)) dy = 0 is homogeneous and find its particular solution, given that, x = 0 when y = 1.