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Unformatted text preview: Question 3. Solve the following Cauchy-Euler ODE : A y xy y x = + 2 ' 2 " 2 , with ICs given by 1 ) ( ' = y and 1 ) ( " = y , for the following two cases (a) = A (b) 2 = A Question 4. Consider the following ODE: ' " = + + xy y xy . By simply recognizing the form of the ODE, write down the general solution (do NOT do the detailed algebra associated with the Frobenius method). For the following ICs: 1 ) ( = y , ) ( ' = y , find the solution ) ( x y and sketch it (see ME 203 text pp 487-489 and handout)....
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- Spring '10