chapter2.page11

# chapter2.page11 - 3 LINEAR EQUATIONS AND BERNOULLI...

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3. LINEAR EQUATIONS AND BERNOULLI EQUATIONS 11 suppose r ( t ) = cos 2 ( t ) , find the general solution and graph the solution for several different value for the constant C in the same coordinate. Explain the long time behavior of the solutions. Drug Elimination: Let A ( t ) be the amount of cer- tain drug in the bloodstream, measured by the excess over the natural level of the drug. Then in many situations A ( t ) will decline at a rate proportional to the current excess amount. That is dA dt = - λA, where λ > 0 is called the elimination parameter of the drug. Suppose for one type of drug, λ ( t ) = 1 t 2 +4 find the general solution. Discuss its longtime behavior by graphing several solutions in the same coordinate. 3.2. Bernoulli Equations. A Bernoulli equation is an ODE of
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