Characteristic equation from an exponential trial solution (Q1621): Difference between revisions

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y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0
 
Property / LaTeX source: y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0 / rank
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y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0
Property / LaTeX source: y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0 / rank
 
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Latest revision as of 13:26, 3 September 2026

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Characteristic equation from an exponential trial solution
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    y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0
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