$\text { Find the general solution of the differential equation } \frac { d y } { d x } = \frac { 5 x ^ { 2 } } { 8 y ^ { 2 } } \text {. }$

question 26

Multiple Choice

$\text { Find the general solution of the differential equation } \frac { d y } { d x } = \frac { 5 x ^ { 2 } } { 8 y ^ { 2 } } \text {. }$

• A) \(y = \frac { 5 } { 8 } x ^ { 3 } + C ^ { \prime }\)
• B) \(y = \sqrt [ 3 ] { \frac { 5 } { 8 } x ^ { 3 } + C }\)
• C) \(y = \sqrt { \frac { 8 } { 5 } x ^ { 3 } + C }\)
• D) \(y = \sqrt [ 3 ] { \frac { x ^ { 2 } } { 8 } + C }\)
• E) \(y = \sqrt [ 3 ] { 5 x ^ { 3 } + 8 C }\)

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Definitions:

RNA Polymerases

Enzymes responsible for synthesizing RNA from a DNA template, fundamental in the process of transcription.

Transcription

The process of copying a segment of DNA into RNA, an essential step in gene expression.

tRNA Triplet

A sequence of three nucleotides in transfer RNA that is complementary to the codon in messenger RNA and specifies a particular amino acid during protein synthesis.

mRNA

A category of RNA known as messenger RNA transfers the genetic blueprint from DNA to the ribosome, dictating the sequence of amino acids in proteins produced through gene expression.