Solving differential equations "c" value. 1) When do you substitute the initial conditions into the equation to calculate the value of the constant "c". Do you substitute it once you integrate both sides of the differential equations and you get a constant "c"? Or do you substitute the initial conditions after integrating both sides AS WELL AS rearranging the equations to get y in terms of x and c. Using the second method, sometimes you get two values for "c" with only one value being correct.

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The solution of a differential equation y′′+3y′+2y=0 is of the form
A) $c_1{e}^x+c_2{e}^{2x}$
B) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{3x}$
C) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{-<!--\; -\; -->2x}$
D) $c_1{e}^{-<!--\; -\; -->2x}+c_2{2}^{-<!--\; -\; -->x}$

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A. 4.2
B. 4.4
C. 4.7
D. 5.1

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