a. OT or OF: The Wronskian of a fundamental set of solutions to the differential equation y"(x) + y'(x) – 12y(x) = 0 is W(y1, y2)(x) = e=*. b. OT or OF : The problem z"(t) + 2cz' (t) + wix(t) = 0 has no damping if c= 0. c. OT or O F : A certain differential equation has the solution y(t) = e-/²[cos(5t) + sin(5t)] This solution can also be written in the form y(t) = e-1/² cos(5t – 1/4).
a. OT or OF: The Wronskian of a fundamental set of solutions to the differential equation y"(x) + y'(x) – 12y(x) = 0 is W(y1, y2)(x) = e=*. b. OT or OF : The problem z"(t) + 2cz' (t) + wix(t) = 0 has no damping if c= 0. c. OT or O F : A certain differential equation has the solution y(t) = e-/²[cos(5t) + sin(5t)] This solution can also be written in the form y(t) = e-1/² cos(5t – 1/4).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Tell me which one is true and Which one is false ?
![IIOT or O F : The Wronskian of a fundamental set of solutions to the
differential equation y"(x) + y'(x) – 12y(x) = 0 is W(y1, y2)(x) = e-.
а.
b. OT or OF : The problem r"(t) + 2ca' (t) + wix(t) = 0 has no damping if
c = 0.
c. OT or OF : A certain differential equation has the solution
y(t) = e-/2[cos(5t) + sin(5t)] This solution can also be written in the form
y(t) = e-/2 cos(5t – 7/4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d40fb5e-1b76-4952-9391-ae3c42bfa50f%2Fa5795d56-e0e0-4147-85d3-cd055cbed552%2Fkh8cp7k_processed.png&w=3840&q=75)
Transcribed Image Text:IIOT or O F : The Wronskian of a fundamental set of solutions to the
differential equation y"(x) + y'(x) – 12y(x) = 0 is W(y1, y2)(x) = e-.
а.
b. OT or OF : The problem r"(t) + 2ca' (t) + wix(t) = 0 has no damping if
c = 0.
c. OT or OF : A certain differential equation has the solution
y(t) = e-/2[cos(5t) + sin(5t)] This solution can also be written in the form
y(t) = e-/2 cos(5t – 7/4).
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