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

Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

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

Show that y=c x+a/c is a solution of the differential equation y=x(dy)/(dx)+a/((dy)/(dx))dot

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 differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x/y)^-2((dy)/(dx))^2)/(2!)+((x/y)^(-3)((dy)/(dx))^3)/(3!)+... i s

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(xsin^2(x^2+y^2))/(y^3) .

The solutions of y=x((dy)/(dx)+((dy)/(dx))^3) are given by (where p=(dy)/(dx) and k is constant)

x+y(dy/dx)=2y

Find the sum of the degree and the order of the differential equation: y = (x-(2y)/((dy)/(dx)))(((2y)/(dy))/(dx))^(2) .