Find the general real-valued solution to the following differential equations. you should do one of them using complexification (you may pick (you do not have to give the sinusoidal portion of your answer as a single sine function, although you will be asked to do so on the exam) a. y" + 8y 5. ,, + 15v = cost b. y"-3y' = 2e, sin(21)

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato