Let R be the differential operator defined by: d " R(y) = y(3) + 4y(2) + 5y' + 2y where dt Solve: A. R(y) = 10cos (t) + 12et + 2 y(0) = 2, y'(0) = 1, y'(0) = 4 B. R(y) = 10sin (t) + 12et + 2 у(π/2) = 0, y'(π/2) = 0 C. R(y) = f(t) y(0) = 2, y'(0) = 1, y'(0) = 4 if 0 < t < π/2 ift ≥ π/2 Where f(t) = (10cos (t) + 12et + 2 -100 (10cos (t) + 12et + 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Let R be the differential operator defined by:
d "
R(y) = y(3) + 4y(2) + 5y' + 2y
where
=
dt
Solve:
A.
R(y) = 10cos (t) + 12et + 2
y(0) = 2, y'(0) = 1, y'(0) = 4
B.
R(y) = 10sin (t) + 12et + 2
у(π/2) = 0, y'(π/2) = 0
C.
R(y) = f(t)
y(0) = 2, y'(0) = 1, y"(0) = 4
if 0 < t < π/2
ift ≥ π/2
Where f(t)
(10cos (t) + 12et + 2
=
(10cos (t) + 12et + 2
Transcribed Image Text:Let R be the differential operator defined by: d " R(y) = y(3) + 4y(2) + 5y' + 2y where = dt Solve: A. R(y) = 10cos (t) + 12et + 2 y(0) = 2, y'(0) = 1, y'(0) = 4 B. R(y) = 10sin (t) + 12et + 2 у(π/2) = 0, y'(π/2) = 0 C. R(y) = f(t) y(0) = 2, y'(0) = 1, y"(0) = 4 if 0 < t < π/2 ift ≥ π/2 Where f(t) (10cos (t) + 12et + 2 = (10cos (t) + 12et + 2
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