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The amounts x, (t) and x2(t) of salt in two brine tanks satisfy the differential equations below, r for i = 1, 2. The volumes are V, Vi where k; = 40 (gal) and V, = 20 (gal). First solve for x4 (t) and x2(t) assuming that r= 6 (gal/min), x, (0) = 12 (Ib), and x2(0) = 0. Then construct a figure showing the graphs of x, (t) and x, (t). %3D dx, - k,x1 + k2X2, dx2 = kqx1 - k2x2 dt dt X1 (t) = X2 (t) = Choose the correct graph of x, (t) and x2(t) below. OA. В. С. D. Ax 12- 12- 12- 12- X1 X. 0- 04

The amounts x, (t) and x2(t) of salt in two brine tanks satisfy the differential equations below, r for i = 1, 2. The volumes are V, Vi where k; = 40 (gal) and V, = 20 (gal). First solve for x4 (t) and x2(t) assuming that r= 6 (gal/min), x, (0) = 12 (Ib), and x2(0) = 0. Then construct a figure showing the graphs of x, (t) and x, (t). %3D dx, - k,x1 + k2X2, dx2 = kqx1 - k2x2 dt dt X1 (t) = X2 (t) = Choose the correct graph of x, (t) and x2(t) below. OA. В. С. D. Ax 12- 12- 12- 12- X1 X. 0- 04

Advanced Engineering Mathematics
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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The amounts x1 (t) and x2(t) of salt in two brine tanks satisfy the differential equations below, where k; for i = 1, 2. The volumes are V, = 40 (gal) and V, = 20 (gal). First solve for Vi %3D %3D X4 (t) and x2(t) assuming that r= 6 (gal/min), x, (0) = 12 (Ib), and x2(0) = 0. Then construct a figure showing the graphs of x, (t) and x2(t). dx, - k, x1 + k2X2, dx2 = k,x1 - k2X2 dt dt X1 (t) = X2 (t) = Choose the correct graph of x, (t) and x2(t) below. А. В. C. D. AX 12- 12- 12- 12- X. 0- 0-
Transcribed Image Text:The amounts x1 (t) and x2(t) of salt in two brine tanks satisfy the differential equations below, where k; for i = 1, 2. The volumes are V, = 40 (gal) and V, = 20 (gal). First solve for Vi %3D %3D X4 (t) and x2(t) assuming that r= 6 (gal/min), x, (0) = 12 (Ib), and x2(0) = 0. Then construct a figure showing the graphs of x, (t) and x2(t). dx, - k, x1 + k2X2, dx2 = k,x1 - k2X2 dt dt X1 (t) = X2 (t) = Choose the correct graph of x, (t) and x2(t) below. А. В. C. D. AX 12- 12- 12- 12- X. 0- 0-
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