4. Determine when the following pairs of functions are linearly independent. (a) yı(t) = erit; y(t) = er²t, r₁,72 € R (b) y(t) = cos(at); 32(t) = sin(at), a = R (c) y₁ (t) = cosh(at); y₂(t) = sinh(at), a € R

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Determine when the following pairs of functions are linearly independent.
(a) yı(t) = erit; y(t) = er²t, r₁,72 € R
(b) y(t) = cos(at); 32(t) = sin(at), a = R
(c) y₁ (t) = cosh(at); y₂(t) = sinh(at), a € R
Transcribed Image Text:4. Determine when the following pairs of functions are linearly independent. (a) yı(t) = erit; y(t) = er²t, r₁,72 € R (b) y(t) = cos(at); 32(t) = sin(at), a = R (c) y₁ (t) = cosh(at); y₂(t) = sinh(at), a € R
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