x%=D2x+4+ 3e9= 4c -4O tind the particular Soluhoninhomo gencous System with.originaland 4:-3 when t= 0theWhat is thethisLong-term behaviourparticularoft.becomeslarge?2 Does the ratio 4/2 tendSolutionastofixed numberand fwhat.number ?So

Given- x˙ = 2x + y + 3ety˙ = 4x - y To find- f. Find the particular solution of the original…

Answered: X=D2x+4+ 3e j= 4x-4 O tind the…

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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Consider the cascade of two tanks of brine shown in the figure below, with V1=99 gallons and V2=204 gallons being the volumes of brine in the two tanks. Each tank also initially contains 51 lb of dissolved salt. The three flow rates indicated in the figure are each 4.6 gal/min, with pure water flowing into tank 1. (a) Find the amount x(t) of salt in tank 1 at time t. x(t)=? (b) Suppose that y(t), the amount of salt in tank 2 at time t, is given by the differential equation dy/dt=(4.6x/99)−(4.6y/204). Solve for y(t) using the function x(t) found in part (a) y(t)=?
is e^(-3y) is the integrating factor of the FOLDE y'-3y=6, show your solution.
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X=D2x+4+ 3e j= 4x-4 O tind the particular Soluhion. inhame gencous System with. the original of :3 and 9=-3° when t=0 © What is the Long-term behariour of this particular ? Does the ratio 4/x tend Solution to targe2 fixed number, and i so what. as t becomes