1. Verify that Consider the system of differential equations x₁ (t) = x₂(t) x₂ (t) = x₁(t) + t x₁ (t) = ett and x₂(t) = et - 1 is a solution to the preceding system.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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1.
Verify that
Consider the system of differential equations
x₁ (t) = x₂(t)
x₂(t) = x₁(t) + t
x₁ (t) = ett
is a solution to the preceding system.
and x₂(t) = e²-1
Transcribed Image Text:1. Verify that Consider the system of differential equations x₁ (t) = x₂(t) x₂(t) = x₁(t) + t x₁ (t) = ett is a solution to the preceding system. and x₂(t) = e²-1
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