Find the particular solution of differential equation : `x^2dy-(x^2+xy+y^2)dx=0,y(1)=1`.

Find the particular solution of differential equation : x^2dy-(3x^2+xy+y^2)dx=0,y(1)=1 .

Find the particular solution of differential equation : x^2dy-(x^2+xy+3y^2)dx=0,y(1)=1 .

find the general solution of the differential equation {x^2dy-(x^2+xy+y^2)}dx=0

Solve the differential equations: x^2dy+(xy+y^2)dx=0, y(1)=1

Find the particular solution of differential equations : [x sin^2(y/x)-y]dx+xdy=0,y(1)=pi/4 .

Find the particular solution of the differential equation : x^2 dy - y dx = 2x dy given that x = 3, y = 1