Solve the differential equation du/dt = (5 + t^4)/ (ut^2 + u^4t^2)

Step-by-step explanation:

Given :

Calculation :

Now, integrating both the we get

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Step-by-step explanation:

We have the following differential equation:

Let's begin by applying common factor at the numerator and denominator:

Simplifying and separating variables:

Integrating both sides of the equation and keeping in mind :

We have the following result:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

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step-by-step explanation: