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This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its solution is significant and can be introduced without any knowledge of how to resolve a differential equation and thus can be done here before we find into solving them. Hence, having much information about the solutions to differential equations without in fact having the solution is a nice concept that requires some investigation.
After that, as we require a differential equation to work along with this is a good section to demonstrate you that differential equations arise naturally in many cases and how we find them. Almost each physical situation which occurs in nature can be illustrated with an suitable differential equation. The differential equation may be easy or difficult to arrive at depending on the situation and the assumptions which are made regarding the situation and we may not ever be capable to resolve it, though it will exist.
The process of illustrating a physical situation along with a differential equation is termed as modeling. We will be looking for modeling some times during this class.
To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, t
Integral Test- Harmonic Series In harmonic series discussion we said that the harmonic series was a divergent series. It is now time to demonstrate that statement. This pr
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Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.
What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In
Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix. It is, We
Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is
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