Determine without solving the largest intervals in which the

Determine (without solving) the largest interval(s) in which the solution to the given ODE is certain to exist. Briey justify your answer. (a) (xy)^(6) + (x1)y000 + cos(x)y = ln|x1| (b) (e^x)(y^(4)) x^2y\' = csc(x)

Solution

a) it is not a ODE

for (b) it is combinations of exponential and trigonamic functions so solution exist for all x