The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution yp(x) of the given nonhomogeneous equation. y'' − 3y' + 2y = 7e3x; y1 = ex

Step-by-step explanation

Standard form

Hence your P(t) = -3, Q(t) = 2

After replacing all y", y' and y to homogeneous part, you will have

because

Let U = V'

.

Replace back,

then

So, general solution of the ODE is

Particular solution is just take derivative of the general one twice and plug back into the original ODE to find A and B

You can finish it by yourself. Let me know if you need more help

answer:

125 yards

explanation:

75+50=125. that is my answer