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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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
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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
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