Question: For the equation y + 5y = -7 cos(4x) + 6 sin(4x), we know that the solution takes the form y = A cos(4x) +

For the equation y" + 5y = -7 cos(4x) + 6

For the equation y" + 5y = -7 cos(4x) + 6 sin(4x), we know that the solution takes the form y = A cos(4x) + B sin(4x) but don't know the values of A and B that make the equation true. Find the appropriate values of A and B; do not round your intermediate steps, but round your final answer to two decimal places. Hint: You will need to find the second derivative of y and do some algebra manipulation. a. The value of A (to 2 decimal places) is: b. The value of B (to 2 decimal places) is

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