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Let *₁(t) = Show that r₁(t) is a solution to the 9 P-4 2e³t+4e-t 3e³t+10e 100-1], #₂(t) = -4e³t+2e- -6e³t + 5e¯ system P by evaluating derivatives and the matrix product = x' 9 *{(t) = [1/5 = 1(t) Enter your answers in terms of the variable t. [ AH Show that 2 (t) is a solution to the system' help (formulas) help (matrices) Pa by evaluating derivatives and the matrix product 9 2 {(t) = [153 = √²2(1)

Let *₁(t) = Show that r₁(t) is a solution to the 9 P-4 2e³t+4e-t 3e³t+10e 100-1], #₂(t) = -4e³t+2e- -6e³t + 5e¯ system P by evaluating derivatives and the matrix product = x' 9 *{(t) = [1/5 = 1(t) Enter your answers in terms of the variable t. [ AH Show that 2 (t) is a solution to the system' help (formulas) help (matrices) Pa by evaluating derivatives and the matrix product 9 2 {(t) = [153 = √²2(1)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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9. Ordinary Differential Equations 

Let ₁ (t) = Show that ₁(t) is a solution to the 2e³t+4e-t system P = 3e³t+10e-t X' 40+] *₂(t) = 9 15 = Enter your answers in terms of the variable t. 31-1 H = -4e³t +2e -6e³t + 5e¯ 9 2({(1) = [1/3 - 7 21 (1) 15 Pa by evaluating derivatives and the matrix product 1. Enter your answers in terms of the variable t. H Show that 2(t) is a solution to the system ' = Px by evaluating derivatives and the matrix product x 9 22(t) = [154]=2(1) help (formulas) help (matrices) help (formulas) help (matrices)
Transcribed Image Text:Let ₁ (t) = Show that ₁(t) is a solution to the 2e³t+4e-t system P = 3e³t+10e-t X' 40+] *₂(t) = 9 15 = Enter your answers in terms of the variable t. 31-1 H = -4e³t +2e -6e³t + 5e¯ 9 2({(1) = [1/3 - 7 21 (1) 15 Pa by evaluating derivatives and the matrix product 1. Enter your answers in terms of the variable t. H Show that 2(t) is a solution to the system ' = Px by evaluating derivatives and the matrix product x 9 22(t) = [154]=2(1) help (formulas) help (matrices) help (formulas) help (matrices)
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