(a) Solve the ODE y' - y/x = -x -1 cos (1/x). Find an initial condition for...
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(a) Solve the ODE y' - y/x = -x-1 cos (1/x). Find an initial condition for which the arbitrary constant becomes zero. Graph the resulting particular solution, experimenting to obtain a good figure near x = 0.
(b) Generalizing (a) from n = 1 to arbitrary n, solve the ODE y' - ny/x = -xn-2 cos (1/x). Find an initial condition as in (a) and experiment with the graph.
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a y x sin 1x cx c 0 if y2 2 y is undefined at x0 the point at ...View the full answer
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