`(x+y)(dx-dy)=dx+dy`

Find the general solution of the equation x - y (dx)/(dy) = y + x (dx)/(dy) .

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

If y=xlog(x/(a+b x)),t h e nx^3(d^2y)/(dx^2)= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^2 y(dy)/(dx)-x (d) (y(dy)/(dx)-x)^2

The solution of y^2=2y(dy)/(dx)-((dy)/(dx))^(2), is

Solve the following differential equation for a particular solution: y-x(dy)/(dx) = x+y (dy)/(dx) , where y=0 and x=1.

Verify that y^2=4a x is a solution of the differential equation y=x(dy)/(dx)+a(dx)/(dy) .

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

Solve: x dx+y dy=x dy-y dx

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))