(1 point) Given the following differential equation
$$(x^2 + 6y^2)\frac{dx}{dy} = 5xy,$$
(a) The coefficient functions are $M(x, y) = x^2 + 6y^2$ and $N(x, y) = -5xy$ (Please input values for both boxes.)
(b) The separable equation, using a substitution of $y = ux$, is
$$\frac{1}{x} dx+ - \frac{5u}{1+u^2} du = 0$$ (Separate the variables with $x$ with $dx$ only and $u$ with $du$ only.) (Please input values for both boxes.)
(c) The solution, given that $y(-1) = 3$, is
$$x = \frac{1}{10^{\frac{5}{2}}}$$
