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THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION, 0 19 y = C₁ e ²x + c₂e - y" + 3y¹ - 10y зу -5x = y" + 3y¹ - 10y = 0 FIND THE SOLUTION OF THE INITIAL VALUE PROBLEM: y (0) = 2, y₁ (0) ³1 t FIRST FIND THE VALUES OF THE CONSTANTS C, AND C₂ Using THE TWO CONDITIONS GIVEN, THE WRITE FINAL SOLUTION

THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION, 0 19 y = C₁ e ²x + c₂e - y" + 3y¹ - 10y зу -5x = y" + 3y¹ - 10y = 0 FIND THE SOLUTION OF THE INITIAL VALUE PROBLEM: y (0) = 2, y₁ (0) ³1 t FIRST FIND THE VALUES OF THE CONSTANTS C, AND C₂ Using THE TWO CONDITIONS GIVEN, THE WRITE FINAL SOLUTION

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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THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION, 0 19 y = C₁ e ²x + c₂e y" + 3y¹ - 10y -5x ? FIND THE SOLUTION OF THE INITIAL VALUE PROBLEM y² + 3y₁ - 10y = 0, = 2 усог y ₁ (0) = 1 T FIRST FIND THE VALUES OF THE CONSTANTS C, AND C₂ Using THE TWO CONDITIONS GIVEN, THE WRITE FINAL SOLUTION
Transcribed Image Text:THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION, 0 19 y = C₁ e ²x + c₂e y" + 3y¹ - 10y -5x ? FIND THE SOLUTION OF THE INITIAL VALUE PROBLEM y² + 3y₁ - 10y = 0, = 2 усог y ₁ (0) = 1 T FIRST FIND THE VALUES OF THE CONSTANTS C, AND C₂ Using THE TWO CONDITIONS GIVEN, THE WRITE FINAL SOLUTION
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