(v) The pendulum/spring model mr" + 4x + x = 0 is critically damped if... (а) т 3D 0- (c) m = 4 (d) m = 16 %3D %3D
(v) The pendulum/spring model mr" + 4x + x = 0 is critically damped if... (а) т 3D 0- (c) m = 4 (d) m = 16 %3D %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Q5
![(i) The first-order differential equation y+y=x 1s...
(a) linear.
(b) separable
(c) power homogeneous
(d) Bernoulli
1
y =
(ii) The integrating factor for the linear differential equation y +
is...
1
(a) μ(x) %3D In()
(c) (1) = Ja
1
(b) д()
2
(d) µ(1) = VI
(m) f the second-order differential equation y+2u +2u = g(x) has the particular
solution y,(x) = xe-, then...
(a) g(x) = e-
(b) g(x) = xe-
(c) g(x) = x²e-z
(d) g(x) = 0
(iv) The trial form y,(x) for the differential equation y" + 2y + 2y = cos(T) 1s...
(a) Yp(x) = A cos(x) + B sin(x)
(b) Yp(T) = Ax cos(x) + Bx sin(x)
(c) yp(x) = Ae- cos(x) + Be- sin(x)
(d) yp(x) = Are- cos(r)+Bxe- sin(z)
(v) The pendulum/spring model ma" + 4x' + x = 0 is critically damped if...
(а) т 3D 0.
(b) т — 1
(с) т 3 4
(d) m = 16
(vi) If A is a 2 x 5 matrix and B is an 5 x 2 matrix then AB + BA is...
(a) a 2 x 2 matrix
(c) a 2 x 5 matrix
(b) a 5 x 5 matrix
(d) undefined
[]
(vii) The eigenvalues of A =
are...
(a) d = A2 = 0
(b) A = A, = 1
(c) A1 = 0, 2 = 1
(d) A1 = 0, 12 = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f812180-9157-4f42-a550-0a57853d73e0%2F59ca63fb-8a3d-4bbd-90c0-c914d71a13d6%2Fpxg7pv6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(i) The first-order differential equation y+y=x 1s...
(a) linear.
(b) separable
(c) power homogeneous
(d) Bernoulli
1
y =
(ii) The integrating factor for the linear differential equation y +
is...
1
(a) μ(x) %3D In()
(c) (1) = Ja
1
(b) д()
2
(d) µ(1) = VI
(m) f the second-order differential equation y+2u +2u = g(x) has the particular
solution y,(x) = xe-, then...
(a) g(x) = e-
(b) g(x) = xe-
(c) g(x) = x²e-z
(d) g(x) = 0
(iv) The trial form y,(x) for the differential equation y" + 2y + 2y = cos(T) 1s...
(a) Yp(x) = A cos(x) + B sin(x)
(b) Yp(T) = Ax cos(x) + Bx sin(x)
(c) yp(x) = Ae- cos(x) + Be- sin(x)
(d) yp(x) = Are- cos(r)+Bxe- sin(z)
(v) The pendulum/spring model ma" + 4x' + x = 0 is critically damped if...
(а) т 3D 0.
(b) т — 1
(с) т 3 4
(d) m = 16
(vi) If A is a 2 x 5 matrix and B is an 5 x 2 matrix then AB + BA is...
(a) a 2 x 2 matrix
(c) a 2 x 5 matrix
(b) a 5 x 5 matrix
(d) undefined
[]
(vii) The eigenvalues of A =
are...
(a) d = A2 = 0
(b) A = A, = 1
(c) A1 = 0, 2 = 1
(d) A1 = 0, 12 = 2
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