Which of the following y(t) is the solution to the Initial Value Problem (y")² + (y)² = 1 y (0) = -1 y' (0) = 0 Notation: (y")² = (y") (y") and (y')² = (y')(y'). Hint: look at the options before trying to solve the equation yourself. O y(t) = cos(t) O y(t) = sin(t) O y(t) = cos(t) O y(t) = sin(t)
Which of the following y(t) is the solution to the Initial Value Problem (y")² + (y)² = 1 y (0) = -1 y' (0) = 0 Notation: (y")² = (y") (y") and (y')² = (y')(y'). Hint: look at the options before trying to solve the equation yourself. O y(t) = cos(t) O y(t) = sin(t) O y(t) = cos(t) O y(t) = sin(t)
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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Transcribed Image Text:Which of the following y(t) is the solution to the Initial Value Problem
(y")² + (y')² = 1
y (0) = -1
y' (0) = 0
Notation: (y")² = (y")(y") and (y'′)² = (y')(y').
Hint: look at the options before trying to solve the equation yourself.
○ y(t) = cos(t)
○ y(t) = sin(t)
○ y(t) = cos(t)
O y(t) = sin(t)
-
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