The way to check that you (Maple?) have done it correctly is to differentiate twice and see if it matches !Mathman2013 said:
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.BvU said:The way to check that you (Maple?) have done it correctly is to differentiate twice and see if it matches !
You don't need PF to do that for you, do you
[edit] and what about entry 1 ?
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The DE is first order, so the OP needs only to differentiate the solution function once.BvU said:
What are you asking?BvU said:
BvU said:
sorry.A hard DE, or hard differential equation, is a type of mathematical equation that involves one or more derivatives of an unknown function. These equations are often difficult to solve analytically and require advanced mathematical techniques.
R'(t) represents the derivative of the function R(t) with respect to time. In other words, it is the rate of change of the function at a specific time t.
Solving a hard DE typically involves using a combination of mathematical techniques, such as separation of variables, substitution, and integration. It may also require knowledge of specific solution methods for different types of DEs.
In this equation, k represents a constant that affects the rate of change of the function R(t). It could represent a physical constant or a parameter in the equation that affects the behavior of the function.
This type of DE, known as a population growth equation, can be used to model the growth of a population over time. The function R(t) represents the population size at a given time t, and the constant k represents the growth rate of the population. This equation can also be applied to other areas, such as physics and chemistry, to model the behavior of various systems.