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Suppose x = ₁et + c₂e³t. a. Verify that x = =c₁e¯t + c₂e³t is a solution to x" — 4x' - 5x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c₁ as c1 and c₂ as c2.) + + = 0. help (formulas) b. Find a(t) if x(0) ) = 4 and x '(0) = 1. x(t) = = help (formulas)

Suppose x = ₁et + c₂e³t. a. Verify that x = =c₁e¯t + c₂e³t is a solution to x" — 4x' - 5x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c₁ as c1 and c₂ as c2.) + + = 0. help (formulas) b. Find a(t) if x(0) ) = 4 and x '(0) = 1. x(t) = = help (formulas)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose x = c₁e-t + c₂e5t a. Verify that x = = c₁e¯t + c₂e³t is a solution to ï " — 4ï ' – 5x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c₁ as c1 and c₂ as c2.) + + = 0. help (formulas) b. Find ä(t) if x(0) = 4 and x '(0) = 1. x(t) = help (formulas)
Transcribed Image Text:Suppose x = c₁e-t + c₂e5t a. Verify that x = = c₁e¯t + c₂e³t is a solution to ï " — 4ï ' – 5x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c₁ as c1 and c₂ as c2.) + + = 0. help (formulas) b. Find ä(t) if x(0) = 4 and x '(0) = 1. x(t) = help (formulas)
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