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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.
- Spring '08