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 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 .

Solve the differential equation [x sin^2 (y/x)- y] dx + x dy = 0, y (1) = pi/4

Find the particular solution of the differential equation : sin x dy/dx+y cos x =4x,(x ne 0) , given that y=0,x=pi/2 .