In a previous section we looked at mixing problems in which the volume of fluid remained constant and saw that such problems give rise to separable equations. (see example.) if the rates of flow into and out of the system are different, then the volume is not constant and the resulting differential equation is linear but not separable. a tank contains 225 l of water. a solution with a salt concentration of 0.4 kg/l is added at a rate of 5 l/min. the solution is kept mixed and is drained from the tank at a rate of 3 l/min. if y(t) is the amount of salt (in kilograms) after t minutes, show that y satisfies the differential equation dy dt = 2 − 3y 225 + 2t .

Use the multiplier method to incrases £258 by 43%

Linda loans her friend $250 with a 5% monthly intrest rate. how much was the whole loan?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true