Integrating Factor Method
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1.10 Numerical Solution to First-Order Differential Equations
www.math.purdue.eduand show that an integrating factor for the result-ing equation is I(x)= e p(x)dx. (1.9.26) (b) Show that the general solution to Equation ... Euler’s Method Suppose we wish to approximate the solution to the initial-value problem (1.10.1) at x = x1 = x0 + h, where h is small. The idea behind Euler’s method is to use the
Second Order Linear Differential Equations - Pennsylvania …
www.personal.psu.eduThe integrating factor is µ = e−5t. ( t g t dt) et( dt) et( )C Cet t u t () 5 0 5 5 1 ()= ∫µ = ∫ = = µ The actual solution y is given by the relation u = y′, and can be found by integration: 2 5 2 1 5 5 5 () e C C e C C y t =∫ ∫u t dt= Ce t dt= t + = t +. The method used in the above example can be used to solve any second
Gradient-Based Learning Applied to Document Recognition
axon.cs.byu.eduV-SVM Virtual support vector method. I. INTRODUCTION Over the last several years, machine learning techniques, particularly when applied to NN’s, have played an increas-ingly important role in the design of pattern recognition systems. In fact, it could be argued that the availability of learning techniques has been a crucial factor in the
COURSE OBJECTIVES CHAPTER 6 6. SHIP STRUCTURES
www.usna.eduThis last method is obviously more feasible. An analysis as described above can easily identify areas of a ship where shear forces will be generated. Using higher strength materials or increasing the cross sectional area of the ship structure at these points will reduce the possibility of the structure failing due to shear.