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Consider the differential equation y*** - y"+y₁ - y = 0 and initial value y (0) = 1, y¹ (0) = 0, y¹ (0) = -1. Select the alternatives that are NOT true O {cost, sin t} is a fundamental set of solutions the wronskian of y(1) = cos t₁ y₂(t) = sin t and y₂ (1) = e' is 2e² only one alternative is not true Oy(t) = cost is the solution of the IVP {cos t, sin t + e¹, e¹} is a fundamental set of solutions

Consider the differential equation y*** - y"+y₁ - y = 0 and initial value y (0) = 1, y¹ (0) = 0, y¹ (0) = -1. Select the alternatives that are NOT true O {cost, sin t} is a fundamental set of solutions the wronskian of y(1) = cos t₁ y₂(t) = sin t and y₂ (1) = e' is 2e² only one alternative is not true Oy(t) = cost is the solution of the IVP {cos t, sin t + e¹, e¹} is a fundamental set of solutions

Advanced Engineering Mathematics
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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Consider DFQ and IVP select choices that are NOT true

Consider the differential equation y-y"+y₁ - y = 0 and initial value y (0) = 1, y¹ (0) = 0, y¹ (0) = -1. Select the alternatives that are NOT true {cos t, sin t} is a fundamental set of solutions the wronskian of y₁ (t) = cos t₁ y₂(t) = sin t and y(t) = e' is 2e¹ only one alternative is not true Oy(t) = cost is the solution of the IVP {cost, sin t + e', e' } is a fundamental set of solutions
Transcribed Image Text:Consider the differential equation y-y"+y₁ - y = 0 and initial value y (0) = 1, y¹ (0) = 0, y¹ (0) = -1. Select the alternatives that are NOT true {cos t, sin t} is a fundamental set of solutions the wronskian of y₁ (t) = cos t₁ y₂(t) = sin t and y(t) = e' is 2e¹ only one alternative is not true Oy(t) = cost is the solution of the IVP {cost, sin t + e', e' } is a fundamental set of solutions
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