Question: w that o(x) = Ce - 2 is a solution to + 3y= -6 for any choice of the constant C. Thus, Ce SX -

w that o(x) = Ce - 2 is a solution to + 3y= -6 for any choice of the constant C. Thus, Ce SX - 2 is a one-parameter family of solutions to the differential equation. Graph several of the solution curves using the same coordinate stitute (x) for y and find the derivative to substitute for dy dy + 3y = -6 dx [+3(Ce -3x -2) = -6 er using the property to rewrite 3 (Ce "3x -2) as , the left side of the equation simplifies to -6, showing that ((x) is indeed a solution for any value of C. hoose the graph that shows the correct curves for C =0, +1, and + 2. A. O B 9 2 C= -2 O c. OD. C-2

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