Suppore the flows Take clean water of strecn Into Lake Alpha, Hien Bet a and further docwn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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c
Suppore the clean
water Of rtre en
Lake Alphan, Hhen
flowe
Take
stream . The
Into
Bet a
and further docwn
and out Alow
T0o Petres
per hour.Lake Alpha contarns
100 thouseind litred of
Lahe Bet a contatas
A truck
with 200 kodog re ma 1 od Kool-Aie
Mix croulier uto Lake
for each la ke
water
and
300 It nes od wade
drink
Alpha. Assumo that te wader
s belug coutlacually uxe d by
punted
het x belthe amouutf of
Streacir
kool-A id iu Eilogra us ,on
La ke Alpha t hours
after te C kQsh. Find a
doruula fur the rect eod
amouut O
in Hle
Transcribed Image Text:Suppore the clean water Of rtre en Lake Alphan, Hhen flowe Take stream . The Into Bet a and further docwn and out Alow T0o Petres per hour.Lake Alpha contarns 100 thouseind litred of Lahe Bet a contatas A truck with 200 kodog re ma 1 od Kool-Aie Mix croulier uto Lake for each la ke water and 300 It nes od wade drink Alpha. Assumo that te wader s belug coutlacually uxe d by punted het x belthe amouutf of Streacir kool-A id iu Eilogra us ,on La ke Alpha t hours after te C kQsh. Find a doruula fur the rect eod amouut O in Hle
ter
of amoumt og foot-Aret 16
He lake
dt
Find
a formulur for
amount 0/ Kool Ad
killagroue iu Lake Holo
t hours after fle crash
He
d let
4 be amouuut
of
Kool- Aid
beta t houre atter te eraulh. Fing
formular tor the ratel of
Changen He
du dt in
a mount of ko0(-AW
termsot n and y
Find
qmound of Koo|-A10 u babe Betats
t hour atter te crash st= ?
a tormular tor the
Transcribed Image Text:ter of amoumt og foot-Aret 16 He lake dt Find a formulur for amount 0/ Kool Ad killagroue iu Lake Holo t hours after fle crash He d let 4 be amouuut of Kool- Aid beta t houre atter te eraulh. Fing formular tor the ratel of Changen He du dt in a mount of ko0(-AW termsot n and y Find qmound of Koo|-A10 u babe Betats t hour atter te crash st= ? a tormular tor the
Expert Solution
Step 1

Given, the clean water of a stream flows into Lake alpha, then beta into Betaand then further dwonstream. The in and out flow for each Lake is 100 litersper hour. Lake Alpha contains 100 thousands liters of water, and Lake Beta contains 500 thousands liters of water. A truck with 200 kilograms of kool-Aid drink mix crashes into Lake Alpha.

       

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