HW3 - x terms, do integration by parts with ln x as the...

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ME 391: FALL 2007 HW 3 (Due Date: Sept. 26, 2007) 1. Solve the following initial value problem by the method of undetermined coefficients. x e y y y y - = + + + 30 3 3 , 47 ) 0 ( , 3 ) 0 ( , 3 ) 0 ( - = - = = y y y 2. Solve the following second order linear equation by the method of undetermined coefficients. x x x y y 3 sin 3 2 sin 4 + = - 3. Solve the following ordinary differential equations by variation of parameters. (i). x y y cosh = - Hint: It might prove helpful to note that 2 cosh u u e e u + = - (ii). x y ln = Hint: To evaluate integrals with ln
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Unformatted text preview: x terms, do integration by parts with ln x as the first function. 4. Solve the following nonlinear equation ) ( 2 3 = + y y y , subject to the initial conditions 2 1 ) ( , ) ( = = y y , by making a suitable substitution. 5. Practice Problems (do not submit for grading) Exercises 3.4: Problems 8, 14, 16, 18, 26, 33, 38 Exercises 3.5: Problems 9, 12, 15, 16, 22, 24...
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This note was uploaded on 07/25/2008 for the course ME 391 taught by Professor Blazer-adams during the Fall '08 term at Michigan State University.

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