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 Find the values of λ for which y=eλx satisfies the equation 7y+7yt=ytt\text { Find the values of } \lambda \text { for which } y = e ^ { \lambda x } \text { satisfies the equation } 7 y + 7 y ^ { t } = y ^ { tt } \text {. }


Definitions:

Glucosamine

A natural compound found in cartilage, often used in dietary supplements to support joint health and alleviate the symptoms of arthritis.

Cytosine

A pyrimidine base found in DNA and RNA that pairs with guanine during the nucleic acid synthesis.

Base Pairs

The pairs of nucleotides (adenine with thymine, and cytosine with guanine) in DNA that form the rungs of the double helix structure, fundamental for DNA replication and genetic information.

Catastrophism

The idea that Earth’s geological features are the result of sudden, short-lived, violent events, contrary to gradualism.

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