500L tank initially has 20OL saltwater with 10g salt dissolved. In flows 5L/min fresh water [salt]=0g/L. Outflow of the mixture at (salt]=Q/V also has rate 5L/min. Write and solve the IVP for Q(t)= quantity of salt in the mixing tank. O Q (t) = 10e _0.0251

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Chapter2: Second-order Linear Odes
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500L tank initially has 20OL saltwater with 10g salt dissolved. In flows 5L/min fresh
water [salt]=0g/L. Outflow of the mixture at [salt]=Q/V also has rate 5L/min.
Write and solve the IVP for Q(t)= quantity of salt in the mixing tank.
Q (t) = 10e 0.0251
10e0
0.025t
0.02t
Q(t) = -10e°
%3D
OQ (t) – 10e 0.01254
OQ(t) = -10e0.01254
10:51 PM
Transcribed Image Text:500L tank initially has 20OL saltwater with 10g salt dissolved. In flows 5L/min fresh water [salt]=0g/L. Outflow of the mixture at [salt]=Q/V also has rate 5L/min. Write and solve the IVP for Q(t)= quantity of salt in the mixing tank. Q (t) = 10e 0.0251 10e0 0.025t 0.02t Q(t) = -10e° %3D OQ (t) – 10e 0.01254 OQ(t) = -10e0.01254 10:51 PM
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