Question: 10. Consider the following differential equation on the interval 0 < < (cos x)y (sin x cos x)y' - y = 0 - (a)

10. Consider the following differential equation on the interval 0 < <

10. Consider the following differential equation on the interval 0 < < (cos x)y" (sin x cos x)y' - y = 0 - (a) (5pts) Show that y = tanz is a solution. (b) (15pts) Use the method of reduction of order to find a general solution on the interval.

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