Verify if the given equations (Bronson & Costa, 2006) are exact. If exact, determine their primitive and particular solution if applicable. 1) y?dt + (2yt + 1)dy = 0 Ans: exact; y?t + y = c 2) (2x?t – 2x3)dt + (4x3 – 6x²t + 2xt²)dx = 0 Ans: exact; x² – xt = c %3D 3) y' = -2ху ziy = -5 when x = 2 Ans: exact; x?y + y = -25 4) ý =y2 --y² y = -2 when x = 1 Ans: exact; y²t+y = 2 2yt+1
Verify if the given equations (Bronson & Costa, 2006) are exact. If exact, determine their primitive and particular solution if applicable. 1) y?dt + (2yt + 1)dy = 0 Ans: exact; y?t + y = c 2) (2x?t – 2x3)dt + (4x3 – 6x²t + 2xt²)dx = 0 Ans: exact; x² – xt = c %3D 3) y' = -2ху ziy = -5 when x = 2 Ans: exact; x?y + y = -25 4) ý =y2 --y² y = -2 when x = 1 Ans: exact; y²t+y = 2 2yt+1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 25EQ
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