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
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Chapter1: Functions And Models
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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) =
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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