Convert the given initial value problem into an initial value problem for a system in normal form. y (6) (t) = 6 [y' (t)] ²-6 tan (y(t))+ 3e³t y(0)=y'(0) = ... =y (5) (0) = 0
Convert the given initial value problem into an initial value problem for a system in normal form. y (6) (t) = 6 [y' (t)] ²-6 tan (y(t))+ 3e³t y(0)=y'(0) = ... =y (5) (0) = 0
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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![**Convert the given initial value problem into an initial value problem for a system in normal form.**
\[
y^{(6)}(t) = 6 [y'(t)]^2 - 6 \tan (y(t)) + 3e^{3t}
\]
\[
y(0) = y'(0) = \cdots = y^{(5)}(0) = 0
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ada53f7-d108-4ff9-920e-f8297ca83713%2F04d70a80-4eac-476a-acfe-99ead400d3b3%2F38npcdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Convert the given initial value problem into an initial value problem for a system in normal form.**
\[
y^{(6)}(t) = 6 [y'(t)]^2 - 6 \tan (y(t)) + 3e^{3t}
\]
\[
y(0) = y'(0) = \cdots = y^{(5)}(0) = 0
\]
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