- #1
hachi_roku
- 61
- 0
Homework Statement
solve 2xy^3+(1+3x^2y^2)dy/dx=0
Homework Equations
The Attempt at a Solution
first i made sure this is exact by finding the partial on m with respect to y and the partial of n with respect to x. it is exact.
next i integrate M with respect to x...i get x^2y^3+g(y)
next i take the partial with respect to y and get 3x^2y^2+g'(y)
now this is were I am not sure if I am doing it right.
i set this equal to N(x,y) so i get g'(y) = 1 then integrate to get g(y) = y
my answer is x^2y^3+y but I am not sure. please help