KUse the method of variation of parameters to solve the initial value problem x' = Ax + f(t).x(a)=x, using the following values.x(t) =A =6-71 -23060CID-€²¹+7³ 7e²¹-7e5t-e²²+est 7e²-¹-est

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Answered: Use the method of variation of…

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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1. Find all possible fractional solutions + = A F (= P (x) = x -3x - 4x + 12
The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model, C(q) = 2,100 + 809², where q is the reduction in toxicity (in lb of PCPs removed per day) and C(q) is the daily cost (in dollars) of this reduction. (a) Find the cost of removing 10 lb of PCPs per day. $ (b) Government subsidies for toxic waste cleanup amount to S(q) = 510q, where q is as above and S(q) is the daily dollar subsidy. The net cost function is given by N = C - S. Give a formula for N(q). N(q) = = Interpret your answer. O This is the cost of removing q pounds of PCPs per day after the subsidy is taken into account. This is the cost of removing q ounces of PCPs per day after the subsidy is taken into account. This is the cost of removing q ounces of PCPs per day before the subsidy is taken into account. This is the cost of removing q tons of PCPs per day before the subsidy is taken into account. O This is the cost of removing q pounds of PCPs per day…
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Use the method of variation of parameters to solve the initial value problem x = Ax + f(t). x(a)=x, using the following values. x(t) = A= 6-7 1-2 f(t)= 30 60 , x(0) = 0 0 -e¹+75 76¹-7est -e¹+est 7e-¹-est