Second Order Equations-Reduction of Order: Problem 3

(1 point)

Consider the differential equation:

d'y

dx²

dy

2. + y = x

dx

Find a solution y₁ = of the complementary homogeneous equation (hint: this will be an exponential function).

Y1 =

Use reduction of order with your solution y₁ = to find the general soution y of the non-homogeneous differential equation above.

Y