Problems 49 and 50 deal with the solution curves of y'' + 3y' + 2y = 0 shown in Figs. 5.1.6 and 5.1.7.

Figure 5.1.7 suggests that the solution curves shown all meet at a common point in the third quadrant. Assuming that this is indeed the case, find the coordinates of that point.

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3 2 T 0 - y'(0) = 6 y'(0) = 0 y'(0) = -6 2. x 1 3 برا 4 FIGURE 5.1.6. Solutions of y" + 3y + 2y = 0 with the same initial value y(0) = 1 but different initial slopes. 5