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

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

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The integrating factor of the differential equation 3(dy)/(dx)+(3y)/(x)=2x^(4)y^(4) is -

(dy)/(dx)+(3y)/(x)=(1)/(x^(2)) , given that y = 2 when x = 1.

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

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

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

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

The integrating factor in solving 3 (dy)/(dx)+(3y)/x=2x^4y^4 is

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

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