(3)Verify that the fourth-order ode u"" - u" – u = -wu has a solution with wpositiveu(x) :Determine the value of w. This equation arises in cortain nonlinear optics modeling thewavoguide function for intense laser beams in Kerr medium.

Given: u''''-u''-u3=-ωu ⋯1 We have to verify this fourth-order ode. Also determine ω.

(3) positive Verify that the fourth-order ode u - u" - u = -wu has a solution with w 3 sech( /20 u(x) Determine the value of w. This equation arises in certain nonlinear optics modeling the waveguide function for intense laser beams in Kerr medium.

(3) positive Verify that the fourth-order ode u - u" - u = -wu has a solution with w 3 sech( /20 u(x) Determine the value of w. This equation arises in certain nonlinear optics modeling the waveguide function for intense laser beams in Kerr medium.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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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.

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(3)
Verify that the fourth-order ode u"" - u" – u = -wu has a solution with w
positive
u(x) :
Determine the value of w. This equation arises in cortain nonlinear optics modeling the
wavoguide function for intense laser beams in Kerr medium.

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