" 幸 "x(x^(2)+3y^(2))dx+y(y^(2)+3x^(2))dy=0;y(1)=1

Solve each of the following initial value problem: x(x^(2)+3y^(2))dx+y(y^(2)+3x^(2))dy=0,y(1)=1

Solve each of the following initial value problem: x(x^2+3y^2)dx+y(y^2+3x^2)dy=0,\ y(1)=1

Solve differential equation y(y^(2)-3x^(2))dy+x(x^(2)-3y^(2))dx=0y(0)=1.

The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

(x^3+3x y^2)dx+(y^3+3x^2y)dy=0

x(1-x^(2)) dy + (2x^(2)y-y-5x^(3)) dx = 0

[" The differential equation of the family of curves "],[y=c_(1)x^(3)+(c_(2))/(x)" where "c_(1)" and "c_(2)" are arbitrary "],[" constants,is "],[" O "x^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)-3y=0],[" (x) "(d^(2)y)/(dx^(2))+x(dy)/(dx)+3y=0],[" (x) "(d^(2)y)/(dx^(2))+x(dy)/(dx)-3y=0],[" (x) "(d^(2)y)/(dx^(2))-x(dy)/(dx)+3y=0]

(2x^2+3y^2-7)x dx-(3x^2+2y^2-8)y dy=0

(2x^2+3y^2-7)x dx-(3x^2+2y^2-8)y dy=0