NOTE I am solving a Second Order Differential Equation via substitution, thus I shall differentiate again - using the product rule - below I have differentiated the two multiples of separately and then added them together in the end to form
Am I correct?
If not please do explain where and how I am wrong.
If I am correct, please reassure me on why I have done this, I don't fully understand the whole concept.
Thanks in advance
I apologize, the question says;
Show that the substitution transforms the differential equation
into
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So I presume if I am correct, I just plug in my values of in terms of into my original equation, yeah?
Cool, I have used it and ended up with the correct answer, thank you.
However, could you just talk me through about differentiating in respect to so that I have a clearer idea of what I am doing, because it all seems pretty ambiguous. I'm sure it is related to the Chain Rule and Implicit Differentiation.
Thank you