The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula below:

y2 = y1(x) ∫ [e^(−∫P(x) dx)/ y²₁(x)]dx
as instructed, to find a second solution y2(x).
y'' − 4y' + 4y = 0; y1 = e^(2x)
y2 =?

Given is a fundamental solution, we posit a second solution of the form , with derivatives

Substitute these into the ODE:

Integrate both sides twice to get

Then the second fundamental solution is

but already cover , so .

d? maybe

step-by-step explanation:

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3