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Unformatted text preview: posing the specified initial conditions, we obtain , with solution and . Hence and . . 10. Solving the first equation for , we obtain . Substitution into ________________________________________________________________________ page 336 —————————————————————————— CHAPTER 7. —— the second equation results in Rearranging the terms, the single differential equation for is . The general solution is . With given in terms of , it follows that . Invoking the specified initial conditions, and . Hence and 11. Solving the first equation for second equation results in The resulting equation is , we have . . Substitution into the , with general solution . With given in terms of , it follows that . Imposing the specified initial conditions, we obtain and and . Hence . ________________________________________________________________________ page 337 —————————————————————————— CHAPTER 7. —— 12. Solving the first e...
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This note was uploaded on 03/11/2014 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue.

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