Unformatted text preview: term. [ Hint: See Chapter 5 of our text book or the class notes.] Q2. Use twoscale perturbation theory to Fnd a leadingorder approximation to the nonlinear ODE: y ′′ + yǫ [ y ′1 3 ( y ′ ) 3 ] = 0; y (0) = 0 , y ′ (0) = 1 . [ Hint: You are given the solution to 2 dx dθ = x1 4 x 3 , x (0) = 1 is x ( θ ) = 2 √ 1+3 eθ ]...
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This note was uploaded on 04/27/2009 for the course MATH 401 taught by Professor Sarkar during the Spring '09 term at Texas A&M.
 Spring '09
 SARKAR
 Math

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