Solve `(1+x^(2))sec^(2)y dy +2 x tany dx =0, " given that " y = (pi)/(4) " when " x =1`.

Solve x(dy)/(dx)=y+x tan(y/x) , given that y=(pi)/(2) , when x=1.

Find the particular solution of the differential equation (1+x^(2))sec^(2)ydy+2x tany dx=0 , it is given that at x=1 , y=pi//4 .

Find the particular solution of the differential equation (1+x^(2))sec^(2)ydy+2x tany dx=0 , it is given that at x=1 , y=pi//4 .

Solve the following differential equations 3e^(x) tan y dx +(1-e^(x)) sec^2y dy=0" given that "y= (pi)/(4), " when "x=1 .

sec^(2) y tan x dy + sec^(2) x tan y dx = 0 , " when " x =y = pi/4

Solve (dy)/(dx)=x(2 log x +1), " given that " y =0 " when " x =2.

(1 + x^(2)) (dy)/(dx) + 2xy = 4x ^(2) , given that y = 0 , when x =0

Solve (dy)/(dx) =y cot 2x, " given that " y =2 " when " x =(pi)/(4) .

Solve : (1+x^(2)+y^(2)+x^(2)y^(2))dx+xy dy=0 , given that y=0 when x=1 .

answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , given that y=pi/2 , when x=1.