1. Given y" - 2y + 2y = 0 a) Verify that y₁=e* cos x and y₂ = e* sin x are solutions b) Verify that y = ₁₁+ C₂2 is a solution if c, and c₂ are arbitrary constants.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 50E
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SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING.
SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK
FOR BETTER UNDERSTANDING.
LESSON 15: HOMOGENOUS SECOND ORDER LINEAR DE
1. Given
y" - 2y + 2y = 0
a) Verify that y₁ = e* cos x and y₂ = e* sin x are solutions
b) Verify that y = C₁Y₁ + C₂y2 is a solution if c, and C₂ are arbitrary constants.
Transcribed Image Text:SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER UNDERSTANDING. LESSON 15: HOMOGENOUS SECOND ORDER LINEAR DE 1. Given y" - 2y + 2y = 0 a) Verify that y₁ = e* cos x and y₂ = e* sin x are solutions b) Verify that y = C₁Y₁ + C₂y2 is a solution if c, and C₂ are arbitrary constants.
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