Answer Happy

(1 point) The differential equation dy -522 8x - 2 -y2 - 5y + 6 dx has an implicit general solution of the form F(x, y) = C, but there is no way to write a simple explicit solution of the form y = $(x). Because the differential equation is separable, the function F(x, y) can be written as a sum of a function of x plus a function of y. The implicit general solution to the DE is F(x, y) = 10x^(3)-2y^(3)+24x^(2)-15y^2)+12x+36y = C. = Now find the implicit function of the initial value problem (IVP) consisting of the same DE with the initial condition y(-3) = 3. This requires you to find the value of the constant C. Then the constant can be moved to the left to find a implicit solution of the form f(x,y) = 0. The implcit particular solution to the IVP is f(x,y) 10x^(3)-2y^(3)+24x^(3)-15y^(2)+12x+36y+135 = 0. = =