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# Hello sir, Please answer my two questions in differential equations.It is objective type .    1.   Solution of (D2+1)y=0 is ____________________________   Answers:   (a)  y=(Ax+B)e^X. (b)  y=Acosx+Bsinx. (c)  x=(Ay+B)e^y. (d)  y=Ae^x+B/e^x.   2.    The complementary function of a differential equation is B+ae^-x. Then the Auxiliary equation is ___________________.    Answers.   (a)m^2+m=0. (b)m^2-m=0. (c)m^2+2m+1=0. (d)m^2-2m+1=0.     Thanks a lot. Anitha Ashok. Grade:Upto college level

## 1 Answers Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
`in the first question replace D2 with r2we get r=+- imeans y will be of form bfor the second question if thats the case means roots are different -1, 0implies a`

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