For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's formula for Wronskian is W(y₁, ···, Yn) (t) = ce¯S P₁(t) dt Use Abel's formula to find the Wronskian of a fundamental set of solutions of the differential equation t²y(4) + 3ty" + y″ − 4y = 0. NOTE: Use c for the constant of integration. W (y1, y2, Y3) (t) = ...
For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's formula for Wronskian is W(y₁, ···, Yn) (t) = ce¯S P₁(t) dt Use Abel's formula to find the Wronskian of a fundamental set of solutions of the differential equation t²y(4) + 3ty" + y″ − 4y = 0. NOTE: Use c for the constant of integration. W (y1, y2, Y3) (t) = ...
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![For the differential equation y(n) + p₁(t)y(n-¹)+...+pn(t)y = 0
·, yn Abel's formula for Wronskian is
with solutions Yı,
W (y₁,
yn) (t) = ce-SP₁(t) dt
2
Use Abel's formula to find the Wronskian of a fundamental set of
solutions of the differential equation t²y(4) + 3ty"" + y" — 4y = 0.
NOTE: Use c for the constant of integration.
W (y1, y2, Y3) (t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ffbc1d8-30c0-4fb7-b8ef-40672e1fb1c7%2F223369e1-d858-4450-938a-8d4be7b2dc7b%2Fyl9ygt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the differential equation y(n) + p₁(t)y(n-¹)+...+pn(t)y = 0
·, yn Abel's formula for Wronskian is
with solutions Yı,
W (y₁,
yn) (t) = ce-SP₁(t) dt
2
Use Abel's formula to find the Wronskian of a fundamental set of
solutions of the differential equation t²y(4) + 3ty"" + y" — 4y = 0.
NOTE: Use c for the constant of integration.
W (y1, y2, Y3) (t) =
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