Final answer:
To solve the given differential equation, one would likely need to use an integrating factor to transform it into an exact equation, and then integrate both sides to find the general solution.
Step-by-step explanation:
The general solution to a differential equation of the form given often involves separating variables or finding an integrating factor. In this case, with the presence of functions like cos²(x)sin(x) and cos³(x), we usually look towards techniques involving the use of an integrating factor. This method transforms a non-exact differential equation into an exact one, which will allow us to find the general solution by integrating both sides of the equation.
Without the exact equation provided, the general approach would be to divide through by cos²(x) if x is not equal to (2n + 1)π/2, for integers n , to get a first-order linear differential equation in standard form, which can then be solved by integrating. Suggested SEO keywords for this solution include integrating factor, general solution, and first-order linear differential equation.