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dy Show that $(x)=C e -5x – 2 is a solution to - + 5y = - 10 for any choice of the constant C. Thus, Ce - 5x – 2 is a one-parameter family of solutions to the dx differential equation. Graph several of the solution curves using the same coordinate axes. dy Substitute (x) for y and find the derivative to substitute for dx dy + 5y = - 10 dx 2) = - 10 (+5(ce -5x
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