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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.

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
6 years ago
in the first question replace D2 with r2 we get r=+- i

means y will be of form b

for the second question if thats the case means roots are different -1, 0

implies a


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