Unformatted text preview: applying variation of parameters. 4. 5. 6. 7. 8. Heat Equation with an extra ‘h * u” term where h is a constant. Separation of variables still works, making this an easy problem. 9. Polar Laplace Equation, defined outside a circle of radius a. Solutions must be real value and 2 pi periodic. Solution requires identifying complex eigenvalues that will satisfy these requirements. Laplace equation has conditions u (a, theta) = f(theta) 10. Nonhomogeneous sturm louiville problem. Requires solving one equation with an integrating factor....
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 Spring '07
 Trangenstein
 Math, Equations, Laplace, Polar Laplace Equation

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