(dy)/(dx)=(cos^(2)y)/(1+x^(2));" given "y=0," when "x=0

(dy)/(dx)=(y(2y-x))/(x(2y+x))=0 , given y=1, when x=1

Find the particular solution of differential equation (dy)/(dx)=(x+y cos x)/(1+sin x) given that y=1 when x=0

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

Solve the differential equation (1+x^(2))(dy)/(dx)+(1+y^(2))=0, given that y=1, when x=0

Solve (dy)/(dx) =y^(2)tan 2x, " given that " y =2 " when " x =0 .

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

Solve: (dy)/(dx)-y/x + cosec (y/x) =0, given y = 0 when x = 1

Solve the following initial value problems : x (dy)/(dx)+2y=x^(2)(x !=0) , given that y=0 when x=1 .

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

Solve (dy)/(dx)+y cot x=2x+x^(2)cot x, given that y=0 when x=0