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  3. 1252) y=(c1)exp(ax)+(c2)exp(bx)+f+gx is the genera

1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of the second order linear differential equation:    (y'') + ( 6y')...

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Advance Math

1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solutionof
the second order linear differential equation:
   (y'') + ( 6y') + (-27y) = ( 2) + ( -3)x. Find A,B,F,G,where
A>B. This exercise may show "+ (-#)" which should be entereredinto
the calculator as "-#", and not "+-#". ans:4

Answer & Explanation Solved by verified expert
4.0 Ratings (464 Votes)
Find the complementary solution by solving d2 yx dx2 6 dyx dx 27 yx 0 Assume a solution will be proportional to e x for some constant Substitute yx e x into the differential equation d2 dx2e x 6 d dxe x 27 e x 0 Substitute d2 dx2e x 2 e x and d dxe x e x 2 e x 6 e x 27 e x 0 Factor    See Answer
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