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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.
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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