The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). y'' − 12y' + 36y = 0; y1 = e6x

Given , assume a second solution of the form , with derivatives

With , you have and .

Substitute these into the ODE and you get

Now substitute , so that and you have a linear first-order ODE:

But is already accounted for, so the second fundamental solution to the ODE is .

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: