20 grams of salt are dissolved into a beaker containing 1 litre of certain chemical. The mass of salt, M grams, which remains undissolved t seconds later, is modelled by the differential equation dM 2M + dt Show that 20-t +1=0, t≥0 M=-—-(10-1)(20-1). 10

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Chapter2: Second-order Linear Odes
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(b). 20 grams of salt are dissolved into a beaker containing 1 litre of certain
chemical. The mass of salt, M grams, which remains undissolved t
seconds later, is modelled by the differential equation
dM 2M
+
dt 20-t
Show that
+1=0, t≥0
1
M = (10-1)(20-1).
10
Transcribed Image Text:(b). 20 grams of salt are dissolved into a beaker containing 1 litre of certain chemical. The mass of salt, M grams, which remains undissolved t seconds later, is modelled by the differential equation dM 2M + dt 20-t Show that +1=0, t≥0 1 M = (10-1)(20-1). 10
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