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Grade Upto college levelDifferential Calculus

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.

Profile image of anitha ashok
14 Years agoGrade Upto college level
Answers icon

1 Answer

Profile image of Arun Kumar
12 Years ago
in the first question replace D2 with r2we 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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