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-pan problem. Show that y(t) = B is a solution to the system of linear homogeneous differential equations H 3₁ 231 +32 +33, Y1+ y2 + 2y3, Y₂ 31 +232 +33. a. Find the value of each term in the equation y₁ = 2y1 +92 +93 in terms of the variable t. (Enter the terms in the order given.) + + b. Find the value of each term in the equation y₂ = ₁ + 32 + 2y3 in terms of the variable t. (Enter the terms in the order given.) + c. Find the value of each term in the equation y3 = 1 + 2y2 + 3/3 in terms of the variable t. (Enter the terms in the order given.) e4t 04 es

-pan problem. Show that y(t) = B is a solution to the system of linear homogeneous differential equations H 3₁ 231 +32 +33, Y1+ y2 + 2y3, Y₂ 31 +232 +33. a. Find the value of each term in the equation y₁ = 2y1 +92 +93 in terms of the variable t. (Enter the terms in the order given.) + + b. Find the value of each term in the equation y₂ = ₁ + 32 + 2y3 in terms of the variable t. (Enter the terms in the order given.) + c. Find the value of each term in the equation y3 = 1 + 2y2 + 3/3 in terms of the variable t. (Enter the terms in the order given.) e4t 04 es

Advanced Engineering Mathematics
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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5 This is the second part of a two-part problem. Show that y(t) E e4t 4t is a solution to the system of linear homogeneous differential equations Y₁ 231 +32 +33, Y₂ Y1+ y2 + 2y3, Y3 31 + 2y2 + 43. a. Find the value of each term in the equation y = 291 +92 +93 in terms of the variable t. (Enter the terms in the order given.) = + b. Find the value of each term in the equation y₂ = 1 + y2 + 2y3 in terms of the variable t. (Enter the terms in the order given.) + c. Find the value of each term in the equation yg = 1 + 2y2 +93 in terms of the variable t. (Enter the terms in the order given.) -
Transcribed Image Text:5 This is the second part of a two-part problem. Show that y(t) E e4t 4t is a solution to the system of linear homogeneous differential equations Y₁ 231 +32 +33, Y₂ Y1+ y2 + 2y3, Y3 31 + 2y2 + 43. a. Find the value of each term in the equation y = 291 +92 +93 in terms of the variable t. (Enter the terms in the order given.) = + b. Find the value of each term in the equation y₂ = 1 + y2 + 2y3 in terms of the variable t. (Enter the terms in the order given.) + c. Find the value of each term in the equation yg = 1 + 2y2 +93 in terms of the variable t. (Enter the terms in the order given.) -
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