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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PLEASE HELP SOLVE THIS PROBLEM
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fc33cc1-e822-44c8-a303-0b5fd2ff9f49%2F99a48069-6817-4722-8a5a-d3ca2631e296%2Fd5wtmod_processed.jpeg&w=3840&q=75)
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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