Question: Suppose that (b a) 2 4ac > 0. a) Find a formula for the general solution of ax 2 y'' + bxy' + cy =

Suppose that (b a)2 4ac > 0.

a) Find a formula for the general solution of ax2y'' + bxy' + cy = 0. Hint: Try y = xr and find a formula for r.

b) What happens when (b a)2 4ac = 0 or (b a)2 4ac < 0.

c)Suppose now that (b a)2 4ac < 0. Find a formula for the general solution of ax2y'' + bxy' + cy = 0. Hint: Note that xr = e r ln x .

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