Tutorial Exercise Determine whether the function is a solution of the differential equation y(4) – 81y = 0. y = 5e3x – 2 sin 3x Step 1 To verify the solution of the differential equation, first find the derivative derivative of the given function y = 5e3x – 2 sin 3x. Step 2 Differentiate the given function y four four times, as the verification needs to be done for y(4) in the left side of the differential equation. Step 3 Now differentiate the given function y = 5e3x - 2 sin 3x, to obtain the first derivative. y' = 5e (3) – 2 cos(3x)(3) y' 3 1 X cos 3x = 5 X e Submit Skip (you cannot come back)