Final answer:
The question appears to be about solving a first-order linear homogeneous differential equation, but it is incomplete. Without the full equation, we cannot determine the general solution.
Step-by-step explanation:
The general solution of the differential equation y' - 18x¹⁷y seems to be incompletely provided in the question. If the equation is given as y' - 18x¹⁷y = 0, which is a homogeneous first-order linear differential equation, we solve it using an integrating factor. The solution involves finding the integrating factor μ(x) and then integrating to find y. However, without the full differential equation, we cannot provide the exact solution.
The general solution of the given differential equation is y = C * exp(9x^18), where C is a constant.
To solve the differential equation, we separate the variables and integrate both sides. Integrating y' - 18x^17y = 0 gives us dy/y = 18x^17 dx. Integrating this equation leads to the general solution y = C * exp(9x^18), where C is the constant of integration.
This solution represents all possible functions that satisfy the given differential equation.