The motion of a mass-spring system with damping is governed by y"(t) + by' (t) + 64y(t) = 0; y(0) = 1, y' (0) = 0. Find the equation of motion and sketch its graph for b = 0, 10, 16, and 20.

Q: Find y as a function of if y(0) = 18, y'(0) = 28, y'(0) = 21. y(x) = y"-9y" + 20y = 24e,

A:

Q: Solve the IVP y"(1) +y'(t)- 2y(1)= 2e' sin(t), y(0) = 1, y'(0) = 1. %3D

A:

Q: Write down the equation of motion for the point particle of mass m moving in the Kepler potential…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Find a function y(æ) such that byy' = x and y(6) = 5. y =

A: y' = dy/dx y(6) = 5 means at x=6 => y=5

Q: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

Q: Find y as a function of a if y"" - 12y" + 35y' = 24e", y(0) = 27, y'(0) = 11, y'(0) = 30. y(x) =

A:

Q: Euler Equation: t2y''+ty'+y=0, t>0

A: Here I am attaching image so that you understand each and every step.

Q: Find the GS of y" - y' - 12y = 0

A:

Q: If these two y's, y1=e^tcos(t) and y2(t)=e^tsin(t) are both solutions to y''+j(t)y'+k(t)y=0, how do…

A:

Q: Find y as a function of a if y(0) = 19, y'(0) = 26, y" (0) = 14. y(x) = y"" - 10y" + 21y' = 48e²,

A:

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: A force of 4 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the spring,…

A:

Q: Sketch the graph of y'=ly with y(0) = 1 yo

A: Given :

Q: 4. The equation of motion of a particle is s(t) = e' (t² – 3), where s is in meters and t is in…

A:

Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

A:

Q: (a) A particle is moving in the vertical plane and the height of the particle is given by…

A: