5. The motion of a mass attached to a dashpot and a spring as it experiences a force can be represented by dx d?x F = -kx Fg = -B dt Fm = m- dt2 As the net force (F) is equal to 1, the following differential equation can be written: FB + Fm + Fr = 1 d²x dx т dt2 -B- kx = 1 dt Where m = 1, B = 1 and k = 6, Solve the above differential equation using the Laplace Transform method at the following initial conditions, x(0) = 0. x'(0) = 0.

Q: ifials

A: We can find how much the point move vertically.

Q: (бх + у?)dх + y(2х — Зу)dy %3D 0

A: We have to solve given problem:

Q: Find the value of dw/dt if w = x2+y2, x = 26 cost and y = 26 sint

A:

Q: What is the order of the differential equation M – R()* = (#)' ds dt? dS sin St? dr2 dr

A:

Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

A:

Q: Please show the work!! A large tank contains 200 gallons of brine in which 100 lbs of salt are…

A:

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Consider the differential equation: dy/dx = y(3 −y) 1) Use the slope field plotter to plot different…

A: Given That : The differential equation is dydx=y3-y. To Find :  a) Using the slope field plotter to…

Q: Explain, in terms of linear approximations or differentials,why the approximation is reasonable.…

A: Given: sec0.08≈1. We have to explain, the linear approximation is reasonable.

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.