Using separation of variables, solve the initial value problem: dy/dx - x⁵eʸ = 4eʸ, y(0) = 4.

a) y(x) = 4 + ln(4e(x⁶)-4)
b) y(x) = 4 - ln(4e(x⁵)+4)
c) y(x) = 4 + ln(4e(x⁶)+4)
d) y(x) = 4 - ln(4e(x⁶)-4)