(dy)/(dx)=x^(3)+x^(2)+8x+1

If y=x+(x^(3))/(3)+(x^(5))/(5)+…oo , show that (dy)/(dx)=(1)/(1-x^(2)) .

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

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

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

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

Solve the following differential equations : y -x (dy)/(dx) =3 (1+x^(2) (dy)/(dx))

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

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

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