Concept explainers
Suppose a uniform beam of length L is simply supported at x = 0 and at x = L. If the load per unit length is given by w(x) = w0x/L, 0 < x < L, then the differential equation for the deflection y(x) is
where E, I, and w0 are constants. (See (4) in Section 5.2.)
- (a) Expand w(x) in a half-range sine series.
- (b) Use the method of Example 4 to find a particular solution yp(x) of the differential equation.
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Chapter 11 Solutions
Bundle: Differential Equations with Boundary-Value Problems, 9th + WebAssign Printed Access Card for Zill's Differential Equations with Boundary-Value Problems, 9th Edition, Single-Term
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage