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Problem B.4 The function ?1 = sin(3?) is a solution to ? ′′ + 9? =...

Problem B.4 The function ?1 = sin(3?) is a solution to ? ′′ + 9? = 0. This second-order ODE can be reduced to the first-order ODE ?′ sin(3?) + 6?cos(3?) = 0. Find a second linearly independent solution ?2. Also, obtain the general solution. Do not use the textbook’s formula 5. (Note: If you perform u-substitution to evaluate an integral, notice that the symbol ? normally used in the u-substitution is not the same as the ? in the equation ?2 = ??1. You may, therefore, wish to use some symbol such as ? in the “u-substitution” to evaluate the integral.)

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