If t denotes the number of days until 80 thousand people have heard the rumor, then Eq. Our assumptions imply that N t kN 15 N , where we measure N in thousands of people. Substituting N 0 5 and. Upon substituting, we solve for t 0. The corresponding estimate for the year , corresponding to t 50 , is P0. P 51P 49 Substituting these values, together with P 0 25 and P As in Example 3 in the text, we solve these equations to find M and k 0.
The initial condition P 0 implies that or ln 50 P P. The initial condition P 0 gives or ln P P. Our alligator population satisfies the equation dx 0.
Elementary differential equations and boundar William E. Donate this book to the Internet Archive library. If you own this book, you can mail it to our address below. Borrow Listen. Want to Read. Download for print-disabled. Check nearby libraries Library. Share this book Facebook. March 27, History. An edition of Elementary differential equations and boundary value problems This edition was published in by Wiley in New York.
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