Monday

September 22, 2014

September 22, 2014

Posted by **Joey** on Wednesday, March 19, 2014 at 12:28am.

my" + vy' + ky = F(t)

where m, v, and k are positive constants denoting the mass of the myocardial tissue, and the stiffness and damping coefficients, respectively; F(t) is called a forcing function.

1. In case of zero and assuming v = sqrt(4mk) ; find the general solution for the displacement of the heart tissue at time t > 0 (your answer will contain m, k, t, and arbritrary constants.)

----------------------

Alrighty so this is how I chose to attempt the question:

1. First I converted the equation to auxillary form, meaning the y" became r^2, y' became r, and y became 1. This gives me mr^2 + vr + k. I make the right-hand side = to 0 and solve using the quadratic formula. What I get is r = (sqrt(mk))/(m). This yields the solution y=e^((sqrt(mk))/(m)x).

I am having to do an alt. method for this question because it is considered an example of "repeated roots" (look at outcome of quadratic equation) so I am now having to do a full out different process from usual. Can anybody help out here? Thanks.

- Applied Math (Biological application) -
**Joey**, Wednesday, March 19, 2014 at 12:29amI basically need help finding the rest of the solutions.

**Answer this Question**

**Related Questions**

physics - A mass of 0.755 kg is attached to a horizontal spring of constant 403 ...

physics - A mass of 0.7 kg is attached to the end of a massless spring of spring...

math - Suppose that an object attached to a coiled spring is pulled down a ...

Math - A frictionless spring with a 7-kg mass can be held stretched 1 meters ...

calculus - Question 1: Experimentally it is found that a 6 kg weight stretches a...

differential equations - Search: A 8 kg mass is attached to a spring hanging ...

physics - One end of a massless coil spring is suspended from a rigid ceiling. ...

physics - One end of a massless coil spring is suspended from a rigid ceiling. ...

physics - if you attach a mass to the spring from its initial equilibrium ...

physics - if you attach a mass to the spring from its initial equilibrium ...