ppose y₁ (t) = √2e³t and 32 (t) = et are solutions of a second-order homogeneous √2 ear ODE on IR. Which one of the following is also a solution to the same ODE? y(t)=√√et y(t) = est-√² y(t) = et + et y(t) = et + et 1 et

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose y₁ (t) = √2e5t and y2(t) = e are solutions of a second-order homogeneous
linear ODE on R. Which one of the following is also a solution to the same ODE?
Ⓒy(t) = √2estet
Ⓒy(t) = est-√2
○y(t) = et + et
y(t) = et + et
Transcribed Image Text:Suppose y₁ (t) = √2e5t and y2(t) = e are solutions of a second-order homogeneous linear ODE on R. Which one of the following is also a solution to the same ODE? Ⓒy(t) = √2estet Ⓒy(t) = est-√2 ○y(t) = et + et y(t) = et + et
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