`(dy)/(dx)+(1)/(2x)y=(x)/(y^(3))`

(dy)/(dx) + (1)/(x) * y = x ^(2)

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

(dy)/(dx)-2/(x+1) y=(x+1)^3

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

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

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!)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

For each of the following differential equations verify that the accompanying functions a solution.Differential Function x(dy)/(dx)=yy=axx+y(dy)/(dx)=0y=+-sqrt(a^(2)-x^(2))x(dy)/(dx)y=y^(2)y=(a)/(x+a)x^(3)(d^(2)y)/(dx^(2))=1y=ax+b+(1)/(2x)y=((dy)/(dx))^(2)y=(1)/(4)(x+-a)^(2)

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

The degree and order of differential equatiion (x+y(dy)/(dx))^((1)/(2))=(x sin x((dy)/(dx))^(2)+y)/(((dy)/(dx))^(3)) is :