" 13."(2ax+x^(2))(dy)/(dx)=a^(2)+2ax

Solve the following differential equation: (2ax+x^(2))(dy)/(dx)=a^(2)+2ax

(1-x^(2))(dy)/(dx)+xy=ax

int (dx)/(x^(2)-2ax)

If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

If xy=ax^(2)+(b)/(x) , then the value of x^(2)(d^(2)y)/(dx^(2))+2x(dy)/(dx) is -

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

The solution of 3x(1-x^(2))y^(2)(dy)/(dx)+(2x^(2)-1)y^(3)=ax^(3) is

Solve 2y^3(dy)/(dx)=ax

If 3ax^(2)=y^(2)(a-x^(6)) , (dy)/(dx)=? .

Show that Ax^(2)+By^(2)=1 is a solution of the differential equation x{y(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)}=y(dy)/(dx)