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dx dt +2X + dy dt. +6y= 2²- 2 dx + 3x + 3 dy dt dE +8y=1

dx dt +2X + dy dt. +6y= 2²- 2 dx + 3x + 3 dy dt dE +8y=1

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 11AEXP
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5 Solve the following Systems of ODES % dx dy +6y=2 € ² dt. ● dt +2X + 2dx + 3x + 3 dy +8y= dt dE -t (D+5) X + (D+4)y=e (D+2)X + (D+1)=y=3 }A Ansa • (2D+3)X + (D+4)y = - cost (D+1) X + (D+2)y = 2 sint. Anss zt t X (t) = 4₁ e ² + (₂²+5² +! at t -t y(t) = k₁e +k₂²e-11e²-3 X(t) = 4 y(t) = -5 + 1² e ²
Transcribed Image Text:5 Solve the following Systems of ODES % dx dy +6y=2 € ² dt. ● dt +2X + 2dx + 3x + 3 dy +8y= dt dE -t (D+5) X + (D+4)y=e (D+2)X + (D+1)=y=3 }A Ansa • (2D+3)X + (D+4)y = - cost (D+1) X + (D+2)y = 2 sint. Anss zt t X (t) = 4₁ e ² + (₂²+5² +! at t -t y(t) = k₁e +k₂²e-11e²-3 X(t) = 4 y(t) = -5 + 1² e ²
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