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

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

x(dy)/(dx)+y=3x^(2)-2,x>0

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

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

Integrating factor of the differential equation (x+1)(dy)/(dx)-y=e^(3x)(x+1)^(2) , is

The solution of the differential equation x=1+xy(dy)/(dx)+(x^(2)y^(2))/(2!)((dy)/(dx))^(2)+(x^(3)y^(3))/(3!)((dy)/(dx))^(3)+...is

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

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x