Let y′′+3y′−18y=0. Try a solution of the form y=erx, for some unknown constant r, by substituting it into the differential equation. =0. help (formulas) Simplify and factor your equation in the previous part as much as possible. Be sure to divide out any factors guaranteed to be nonzero. =0. help (formulas) Find all values of r such that y=erx satisfies the differential equation. If there is more than one correct answer, enter your answers as a comma separated list.

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the answer is 48m^2!

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

c.)

step-by-step explanation: