A family of solutions to the DE is given to be y = 1/(x^2 + c);
With given initial condition y(4) = 1/15.
Let's use this initial data to find a particular solution.
Plug 4 in for x, and 1/15 in for y,
1/15 = 1/(4^2 + c)
Solve for c.
Reciprocate each side,
15 = 4^2 + c
-1 = c
Plugging this c value back into our family of solutions will give us one particular solution to the DE,
y = 1/(x^2 - 1)
