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Unformatted text preview: ) . Then we have dy dt = lim n d dt y n +1 = lim n G t, y n = G ( t, y ) , y ( t ) = lim n y n ( t ) = lim n y = y . Hence y = y ( t ) is the exact solution to the initial value problem. This technique of approximating the solution y = y ( t ) via a sequence y n = y n ( t ) is known as Picards Method ....
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue University-West Lafayette.
- Spring '09