Which of the following graphs represents the solution of the initial value problem y" + 36 y = sin(5.5 t), y(0) = 0 , y'(0) = 0 ? 2 O a) 20 25 30 -1 0.3 0.2 b) 0.1 -0.1 -0.2 -0.3

Q: 3. (4x³y5 sin 3x + 3x*y$ cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A:

Q: (a) Suppose the number of mosquitos in a room can be modeled over time by m(t) = 14 sin(t/12) + 92.…

A:

Q: Find y'. 3 +3 O A. O B. Ос. 2 O D.

A: Given:- y=((1/x) +3) (x-(1/x) +3)  To find:- y'

Q: y" + 9y = e²* sin(x)

A:

Q: correct graph of y = sin x, -"sxs 2n and y = csc x, - sxs 2n on the same axis:

A: Solution:

Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: 13. A sinusoidal function has an amplitude of 0.75 units, a period of 1440°, and a maximum at (0,…

A: Given, Period=1440°=(1440/180) π=8π amplitude A=0.75 vertical shift K= -3 +amplitude=-3.75

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.