Find the particular solution of the following differential equation satisfying the given condition : `((3x^2+y)dx)/(dy)=x ,\ x >0,` when `x=1,\ y=1`

Find the particular solution of the following differential equations, satisfying the given condition (x^(2) + y^(2) ) dx = 2 xy dy , y = 0 when x =1

Find the particular solution of the following differential equations, satisfying the given condition (x^(2) - y^(2) ) dx + 2xy dy = 0 , y = 1 when x =1

Find the particular solution of the differential equation satisfying the given conditions: x^2dy+(x y+y^2)dx=0; y=1\ when x=1.

Find the particular solution of the differential equation satisfying the given conditions: x^(2)dy+(xy+y^(2))dx=0;y=1 when x=1

Find the particular solution of the differential equation satisfying the given conditions: (dy)/(dx)=ytanx , given that y=1\ when x=0

Find the particular solution of the differential equation satisfying the given conditions: (dy)/(dx)=y tan x, given that y=1 when x=0

Find the particular solution of the following differential equation: (dy/dx) =(1+y^2)/(1+x^2) given that y=√3 when x=1