Given the Euler's equation x²y" + 3xy' + 4y = 0. 9. Solve for the roots of the indicial equation. O-1+ 3i 01, 3 О-1,3 О -3, — 3 10. Find the general solution of the given Euler's equation. Oy(x) = c1x + caº -1 Oy(x) = c1x -3 = c1x - 3 ]n ¤ + c2x O y(x) O y(x) = -1 1 = c1x¯ cos (V3 ln æ) + c2¤ sin(v3 ln a)
Given the Euler's equation x²y" + 3xy' + 4y = 0. 9. Solve for the roots of the indicial equation. O-1+ 3i 01, 3 О-1,3 О -3, — 3 10. Find the general solution of the given Euler's equation. Oy(x) = c1x + caº -1 Oy(x) = c1x -3 = c1x - 3 ]n ¤ + c2x O y(x) O y(x) = -1 1 = c1x¯ cos (V3 ln æ) + c2¤ sin(v3 ln a)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
Related questions
Question
Transcribed Image Text:Given the Euler's equation x²y" + 3xy' + 4y = 0.
9.
Solve for the roots of the indicial equation.
O-1+ V3i
O1, 3
О -1, 3
О-3, — 3
6.
10. Find the general solution of the given Euler's equation.
O y(æ) =
O y(x) = c1x
= C1x + c2x°3
1
Oy(x) = c1x
+ c2x
-3 In x
1
= cjx
cos (v3 ln x) + c2æ
-1
O y(x) =
sin (v3 In a)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning