How shall we derive the second equation from first?

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Thread starter oliverkahn
Start date Apr 5, 2020
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In summary, the first and second equations may differ in terms of variables or coefficients, but they represent the same relationship between given quantities. Deriving the second equation from the first allows us to understand underlying principles and manipulate the equation to solve for different variables. The steps involved in deriving the second equation may vary, but typically involve algebraic manipulation and substitution. The second equation can only be derived from the first if there is a known relationship between the quantities. Real-world applications of deriving equations from each other include predicting outcomes and understanding relationships in fields such as physics, chemistry, engineering, and economics.

Apr 5, 2020

oliverkahn

TL;DR Summary: How shall we derive the second equation from first? Which formula to use?

where ##A## is a constant.

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Apr 5, 2020

Gaussian97

Homework Helper

Make a Taylor expansion of ##\psi(r+c)## and ##\psi(r-c)## around the point ##c=0##

1. How do we derive the second equation from the first?

The process of deriving an equation involves manipulating the original equation using mathematical operations such as addition, subtraction, multiplication, and division. By performing these operations on both sides of the equation, we can arrive at a new equation that is equivalent to the first one.

2. What are the steps to derive the second equation from the first?

The steps to derive an equation may vary depending on the specific problem and the type of equation. However, the general process involves identifying the mathematical operations needed to manipulate the original equation and applying them to both sides until the desired result is achieved.

3. Can we use any mathematical operation to derive the second equation from the first?

No, the mathematical operations used to derive an equation must be valid and follow the rules of algebra. For example, we cannot divide by zero or take the square root of a negative number. It is important to understand the properties and limitations of each operation before applying them to an equation.

4. Is it necessary to derive the second equation from the first?

In some cases, it may not be necessary to derive a second equation from the first. However, deriving a new equation can help us solve problems, make predictions, and gain a deeper understanding of the relationship between variables in the original equation.

5. How can we check if the second equation is derived correctly from the first?

We can check if the second equation is derived correctly by substituting the same values for the variables in both equations and comparing the results. If the values are equal, then the second equation is derived correctly from the first.