# Separation of Variables : Vibrating Membrane in Wave Equation

Not what you're looking for? Search our solutions OR ask your own Custom question.

1. Obtain the solution to the initial-value problem (1) for the given f(x, y), a, and b, and give the relations that define the nodal lines of w, if any. Let c=1 in each case.

(e) f(x, y) = 1.05 sin 3x sin y - sin x sin 3y, a = pi, b = 2pi.

See the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:26 pm ad1c9bdddfhttps://brainmass.com/math/trigonometry/separation-variables-vibrating-membrane-wave-equation-45112

#### Solution Summary

An IVP is solved and a step-by-step answer is provided. The solution is detailed and well presented.

$2.49