Differential EquationHard

Question

If y1(x) and y2(x) are two solutions of + f(x) y = r(x) then y1(x) + y2(x) is solution of :

Options

A. + f(x) y = 0
B. + 2f(x) y = r(x)
C.  + f(x) y = 2 r(x)
D. + 2f (x) y = 2r(x)

Solution

+ fy1 = r
+ fy2 = r
Add (y1 + y2) + f(y1 + y2) = 2r
here + f(x)y = 2r

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