2 For each of the following cases, find the condition such that the Wronskian W[y1, 92] = 0. For arbitrary y(x), calculate the 3 x 3 Wronskian W[y₁, 92, y]. Write down the differential equation which results from setting W[y1, 92, y] verify that y₁, y2 are solutions of this differential equation. (a) yı = eλ₁x, y2 = - (b) y₁ = x¹, y2 = x^². = e¹₂x₁ = 0 and
2 For each of the following cases, find the condition such that the Wronskian W[y1, 92] = 0. For arbitrary y(x), calculate the 3 x 3 Wronskian W[y₁, 92, y]. Write down the differential equation which results from setting W[y1, 92, y] verify that y₁, y2 are solutions of this differential equation. (a) yı = eλ₁x, y2 = - (b) y₁ = x¹, y2 = x^². = e¹₂x₁ = 0 and
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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![2 For each of the following cases, find the condition such that the Wronskian W[y₁, 92] #
0.
For arbitrary y(x), calculate the 3 × 3 Wronskian W[y₁, 92, y].
Write down the differential equation which results from setting W[y₁, 92, Y]
verify that y₁, y2 are solutions of this differential equation.
= еx₁x₂ , Y2 = e¹2x
(a) y₁ =
(b) y₁ = x¹, y2 =
= x^².
= 0 and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3011c556-643e-4a01-b0e0-55d8cf24eddf%2F32a1ac50-83f0-434b-b044-ff96a9406e9f%2Fay3fvs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2 For each of the following cases, find the condition such that the Wronskian W[y₁, 92] #
0.
For arbitrary y(x), calculate the 3 × 3 Wronskian W[y₁, 92, y].
Write down the differential equation which results from setting W[y₁, 92, Y]
verify that y₁, y2 are solutions of this differential equation.
= еx₁x₂ , Y2 = e¹2x
(a) y₁ =
(b) y₁ = x¹, y2 =
= x^².
= 0 and
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