(1 point) In this problem we consider an equation in differential form M dz + N dy = 0. The equation (Ary + 8cos(4x) y?) dz + (-(x* + 2y?))dy =0 in differential form M de + N dy = 0 is not exact. Indeed, we have N , - M. = For this exercise we can find an integrating factor which is a function of y alone since N . - My M is a function of y alone. Namely we have "(y) = Multiplying the original equation by the integrating factor we obtain a new equation M de + N dy = 0 where M N Which is exact since M.= are equal This problem is exact. Therefore an implicit general solution can be written In the form F(z, y) = C where F(I, V) - Finally find the value of the constant C so that the Initial condition y(0) = 1 is satisfied. C =