# Display the substitution to use and perform the

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Display the substitution to use and perform the reduction, but do not attempt to solve the separable or homogeneous equation you obtain . The key to this puzzle is the solution to the linear system which is equivalent to , geometrically, a pair of parallel lines. Consequently, a suitable substitution is given by z = x - 2 y . After a little routine algebra, the reduction results in the separable DE ______________________________________________________________________ 10 Point Bonus: Although you will later learn a body of theory that will make the solution of the following following 2rd order equation routine, the truth is that you can actually obtain the general solution to the ODE with the knowledge you have now. Show how in detail. [Say where your work is below! There isn’t room here.] The is done briefly on the bottom of Page 1 of 3.
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