Graphs of some members of a family of solutions for a fi­rst-order differential equation dy/dx = f

Question:

Graphs of some members of a family of solutions for a fi­rst-order differential equation dy/dx = f (x, y) are shown in the following figure. The graphs of two implicit solutions, one that passes through the point (1, 21)€‘and one that passes through (-1, 3), are shown in blue. Reproduce the ­figure on a piece of paper. With colored pencils trace out the solution curves for the solutions y = y1(x) and y = y2(x) de­fined by the implicit solutions such that y1(1) = -1 and y2(-1) = 3, respectively. Estimate the intervals on which the solutions y = y1(x) and y = y2(x) are de­fined.

y. х

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: