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delsoo

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- Thread starter delsoo
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In summary, the OP is asking for help with a math problem involving finding a stationary point and implicitly differentiating an expression with respect to time. They have received a hint for the first part and are now asking for the full solution. They have also shared a link to an image of the problem for reference.

- #1

delsoo

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Physics news on Phys.org

- #2

HomogenousCow

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The first problem amounts to finding a stationary point while the second requires you to implicitly differentiate that expression with respect to time.

Just a hint for i), the staionary point may only exist in a certain limit.

- #3

delsoo

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- #4

- #5

HomogenousCow

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Note to self: I should really learn LaTeX

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- #7

HomogenousCow

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- #8

delsoo

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http://i.imgur.com/RZpquyd.jpg?1

http://imgur.com/RZpquyd&Eoaa0mm#0

A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It involves the use of derivatives, which represent the rate of change of a function, and is commonly used to model physical phenomena in science and engineering.

Solving a differential equation involves finding the function that satisfies the equation. This can be done analytically by using mathematical methods such as separation of variables or integrating factors, or numerically through approximation methods like Euler's method or Runge-Kutta methods.

There are several types of differential equations, including ordinary differential equations, partial differential equations, and stochastic differential equations. These types differ based on the number of independent variables and the types of derivatives involved.

Differential equations have a wide range of applications in science and engineering, including physics, chemistry, biology, economics, and engineering. They are used to model systems with changing variables, such as population growth, chemical reactions, and electrical circuits.

To improve your skills in solving differential equations, it is important to have a strong foundation in calculus and linear algebra. You can also practice solving different types of differential equations using various techniques and methods, and seek help from textbooks, online resources, or a tutor.

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