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y" -y-2y 0. Assume that y, (t) = e and y2(t) = e" forma fundamental set of solutions. %3D (b) Let y3 (t) - Se2 y() =y () + 3y (1) ys (t) = 5y, (1) - 3 y, (r). Are y (1), y, (1), and y, (7) also solutions of the given differential equation? O Impossible to tell O Yes O No

y" -y-2y 0. Assume that y, (t) = e and y2(t) = e" forma fundamental set of solutions. %3D (b) Let y3 (t) - Se2 y() =y () + 3y (1) ys (t) = 5y, (1) - 3 y, (r). Are y (1), y, (1), and y, (7) also solutions of the given differential equation? O Impossible to tell O Yes O No

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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(c) Determine which of the following pairs forms a fundamental set of solutions: yi (t). y (1)]; [v2 (*). y, (1)]; [vi (t). ya (t)]; [v. (1). vs(1)]: O y, (1). va (1)| and [y, (2). y, (z)] O (1), vs (1)| and [y, (2). v. (7)] and [y (t). v;()]| O ly. (1). vs (1)] and y (1), v. (1)] O yi (1), v, (1)] [Pi (1), y. (1)]. and |v, (1), y; (1)]
Transcribed Image Text:(c) Determine which of the following pairs forms a fundamental set of solutions: yi (t). y (1)]; [v2 (*). y, (1)]; [vi (t). ya (t)]; [v. (1). vs(1)]: O y, (1). va (1)| and [y, (2). y, (z)] O (1), vs (1)| and [y, (2). v. (7)] and [y (t). v;()]| O ly. (1). vs (1)] and y (1), v. (1)] O yi (1), v, (1)] [Pi (1), y. (1)]. and |v, (1), y; (1)]
Consider the equation y" -y'-2y 0. Assume that y, (t) = e and y2 (1) form a fundamental set of solutions. %3D (b) Let y3 () = - 5e" y() =y (() + 3y, (7) y (1) = 5y, (1) - 3 y (7). Are y, (1), y, (1), and y, (7) also solutions of the givendifferential equation? O Impossible to tell O Yes O No
Transcribed Image Text:Consider the equation y" -y'-2y 0. Assume that y, (t) = e and y2 (1) form a fundamental set of solutions. %3D (b) Let y3 () = - 5e" y() =y (() + 3y, (7) y (1) = 5y, (1) - 3 y (7). Are y, (1), y, (1), and y, (7) also solutions of the givendifferential equation? O Impossible to tell O Yes O No
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