Activity 3: A spring-mass-damper system has the following equilibrium equation: 4 d²y dy +3 +40y = 0, t> 0 dt dt² where y(t) = displacement in meters, and t = time in seconds. (3-a) Determine the general solution of y(t). (3-b) Assuming y(0) = 0 and y'(0) = 1, determine the particular solution of y(t). (3-c) Use Laplace transform to solve the given differential equation with the same initial conditions

Q: 4x+8 3x+33

A: Given query is to find the value of x.

Q: 3D0 the 二メート 3双+4

A: Given,           73x+4-1x-1=0

Q: what is 4+5x+3x=-84

A: The given expression,      4+5x+3x=-84

Q: Add (−8x2−9xy−5y2​) and (11x2−7xy+7y2​)

A:

Q: %3D +29-2X -34 %3D

A:

Q: What is the first step in rewriting 6x+5y = -5

A:

Q: O 2x + 7 Ox+ 27

A:

Q: What is 2a+2=4

A: Note:-  As statement of problem missing,so we are solving this problem for value  of  variable a…

Q: -7=2r+1

A: Given,     -7 = 2r + 1         ⇒  2r = -7 -1         ⇒   2r = -8        ⇒     r =  -82

Q: Express 3p 12pq+4q² -1- 8p² 6p² +2pq as a single fraction in its simplest form.

A:

Q: Subtract -3x - 2 from 6x² - 4x + 9.

A:

Q: Subtract –4x2 + 8x – 11 from 3x² + 9x3 – 24x + 29

A:

Q: う4+2ーし 4.

A:

Q: is 9x-2x+4x equivalent to 11x?

A: We need to check that is 9x-2x+4x equivalent to 11x?

Q: Multiply.

A: Use the defintion of square to write the given expression as follows.

Q: Divide  (50c3 + 7c + 4) / (5c + 2)

A: