Question
Mathematics Question on Vectors
The general solution of the differential equation d2ydx2+8dydx+16y=0 is
A
(A) (a + bx)e5x
B
(B) (ax + b)e–4x
C
(C) (a + bx2)e4x
D
(D) (a + bx4)e4x
Answer
(B) (ax + b)e–4x
Explanation
Solution
Explanation:
d2ydx2+8dydx+16y=0 auxilary equation m2+8m+16=0⇒m=−4 Solution y=(ax+b)e−4x