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Consider the homogeneous first-order linear differential system Ÿ' = AŸ for A = Which vector functions are solutions to the system? (A is not a constant matrix, so 2t justify your answers by direct verification.) (a) (b) (c) e' (d) What is the dimension of the solution space? From a,b,c find a general solution and form a fundemental matrix of solutions. Verify by finding the Wronskian. (e) Solve the initial value problem with Ÿ (0) :

Consider the homogeneous first-order linear differential system Ÿ' = AŸ for A = Which vector functions are solutions to the system? (A is not a constant matrix, so 2t justify your answers by direct verification.) (a) (b) (c) e' (d) What is the dimension of the solution space? From a,b,c find a general solution and form a fundemental matrix of solutions. Verify by finding the Wronskian. (e) Solve the initial value problem with Ÿ (0) :

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Please solve (d) and (e).

Consider the homogeneous first-order linear differential system Ÿ' = AŸ for A = Which vector functions are solutions to the system? (A is not a constant matrix, so 2t justify your answers by direct verification.) (a) (b) (c) e' (d) What is the dimension of the solution space? From a,b,c find a general solution and form a fundemental matrix of solutions. Verify by finding the Wronskian. (e) Solve the initial value problem with Ÿ (0) :
Transcribed Image Text:Consider the homogeneous first-order linear differential system Ÿ' = AŸ for A = Which vector functions are solutions to the system? (A is not a constant matrix, so 2t justify your answers by direct verification.) (a) (b) (c) e' (d) What is the dimension of the solution space? From a,b,c find a general solution and form a fundemental matrix of solutions. Verify by finding the Wronskian. (e) Solve the initial value problem with Ÿ (0) :
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