3 please correct whats inside wrong boxes Verify that the in

3/ please correct what\'s inside wrong boxes

Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y\'\' - 4y? + 20y = 0; y = e^2x cos 4x When y = e^2x cos 4x, Thus, in terms of x, y? - 4y? + 20y = -10.e^2x sin(4x) x + 20e^2x cos 4x

Solution

y\'\' - 4y\' + 20y = -16e^2x Sin4x -12e^2x Cos4x - 8e^2x Cos4x + 16e^2x Sin4x + 20 e^2x Cos4x

                    = -16e^2xSin4x -20e^2xCos4x + 16e^2xSin4x + 20 e^2xCos4x

                    = 0 (Ans.)

The expression in Bold and Underlined will come in the box.

The final answer will be zero.