In this problem we consider an equation in differential form m dx + n dy = 0. the equation (10x*y$e-* – 4e-* sin(x) + 3e3y) dx + (10x+y4e-* +9e3y)dy = 0 in differential form m dx + n dy = 0 is not exact. indeed, we have m, - ñ x = 18e^(39) for this exercise we can find an integrating factor which is a function of x alone since m, - ñ n can be considered as a function of x alone. namely we have u(x) = multiplying the original equation by the integrating factor we obtain a new equation m dx + n dy = 0 where m = n = which is exact since my = 1 n = are equal. this problem is exact. therefore an implicit general solution can be written in the form f(x, y) = c where f(x, y) =