Given the Differential Equation $y ^ { \prime } = y ^ { 2 } - t ^ { 2 } y ^ { 2 }$

question 107

True/False

Given the differential equation: $y ^ { \prime } = y ^ { 2 } - t ^ { 2 } y ^ { 2 }$ , is this the solution: $y = \frac { 1 } { \frac { 1 } { 3 } t ^ { 3 } - t + C } ?$

---

Definitions:

Illustration

A visualization or a depiction made by an artist, such as a drawing or painting, that complements, elucidates, or decorates text.

Founder Effect

After a small group of individuals found a new population, allele frequencies in the new population differ from those in the original population.

Limited Gene Pool

Refers to a small variety of genes in a population, which can lead to decreased genetic diversity and increased susceptibility to diseases or genetic abnormalities.