If you want to apply a minor tweak to the document, it should not take long to Analyze numbers resolution. Such a simple activity does not have to require extra education or running through handbooks to learn it. With the proper document modifying instrument, you will not take more time than is needed for such a swift edit. Use DocHub to simplify your modifying process whether you are a skilled user or if it is the first time using an online editor service. This tool will take minutes or so to learn how to Analyze numbers resolution. The only thing required to get more productive with editing is actually a DocHub profile.
A simple document editor like DocHub will help you optimize the amount of time you need to spend on document modifying irrespective of your prior knowledge of this kind of resources. Make an account now and boost your efficiency immediately with DocHub!
so if you have a wave that is e to the J K X okay so you X T X 0 is equal to that then instead of a plugging in so lets lets first the plugging into the analytical derivative du u DX is equal to j k times u right but if you plug it into for example a central difference scheme okay that is equal to something different so you I plus 1 would be equal to e to the JK x + JK Delta X and U of I minus 1 would be equal to j KX minus JK Delta X right because I plus 1 and I minus 1 are spaced from X by Delta X and minus Delta X divided by Delta X and then this term and this sorry this is e and this term can be pulled out because you can convert the exponential of summation and and into the product of Exponentials so it is equal to e to the JK x times e to the JK Delta X minus e to the J K minus Delta X right ok so this is actually just a U at X its equal to u times and this is you can work out the real part of this actually gets cancelled out the imaginary part of this is actually J times sin