Solve `(dy)/(dx)=e^(x-y)+x^(2)e^(-y)`.

Solve (dy)/(dx)=sin^(2) (x+3y)+5

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

Solve 2(dy)/(dx)=(y)/(x)+(y^(2))/(x^(2))

Solve (dy)/(dx)+2y=cos x.

(dy)/(dx) + 3y = e^(-2x)

Solve (x+y)^(2)(dy)/(dx)=a^(2)

(dy)/(dx) + (y)/(x) = x^(2)

e^(x) + e^(y) = e^(x+ y) then prove that, (dy)/(dx) + (e^(x) (e^(y)-1))/(e^(y) (e^(x)-1))=0

Solve (dy)/(dx)=(yphi'(x)-y^(2))/(phi(x)),"where" " "phi(x) is a given function.

Suppose A=(dy)/(dx) of x^(2)+y^(2)=4 at (sqrt2,sqrt2), B=(dy)/(dx) of sin y+sinx=sinx.siny at (pi,pi)andC=(dy)/(dx) of 2e^(xy)+e^(x)e^(y)-e^(x)-e^(y)=e^(xy+1) at (1,1), then (A-B-C) has the value equal to.......