Question

As a specific example we consider the non-homogeneous problem y"+9y sec (3) (1) The general solution of the homogeneous problem (called the complementary solution, sab2) is gliven in terms of a pair of linearly independent solutions, y1W Here α and b are arbitrary constants. Find a fundamental set for y"+9y -0 and enter your results as a comma separated list BEWARE Ntice that the above set does not require you to decide which function is to be called y or and normally the order you name them is irrelevant. But for the method of variation of parameters an order must be chosen and you need to stick to that order. In order to more easily allow WeBWorK to grade your workI have selected a particular order for yi and y. In order to ascertain the order you need to use please enter a choice for yi answer is marked as incorrect simply enter the otther function from the complementary set. Once you get this box marked as correct then and if your With this appropriate order we are now ready to apply the method of variation of parameters (2) For our particular problem we have W(z)- W(z) tole And combining these results we arive at (3) Finally, using a and b for the arbitrary constants in Me. the general solution can then be written as

Answer 1

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