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There are several ways to do this. The best way by far is to demonstrate a specific nugget of interest and knowledge within the (usually) vast field of study you are applying for. So, for example, instead...

The general solution y_GS(t) to a differential equation in the form ay''(t)+by'(t)+cy(t)=f(t) is the sum of the complementary function y_CF(t) and a <...

Need to base decision purely scientifically- cannot pass judgement on the mother who is an alcoholic for example, as it is your job as a doctor to be completely unjudgemental and treat everyone the same. ...

This is a very common question amongst all Spanish-learners and sadly there isn't an answer that is completely 'set in stone'. This is because the subjunctive doesn't exist in English, which means it is d...

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2.
Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can ...