Consider the given initial value problem: yâ²â²+3yâ²+2y=0, y(0)=1, yâ²(0)=1. a. Explain why the IVP can represent a mass-spring system. In your explanation, you need to describe the systemâs attributes including initial displacement and initial velocity.
b. Classify the mass-spring system
c. Find the systemâs damping coefficient and spring constant.
d. Is there any external force on the system? Explain why or why not.
e. Use the answers from (a) to (d) above to describe how the system should behave. You need to include its long-run behavior of the system.

Oh please don't ask maths questions again and again.

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step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.