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The subjunctive is a  'mood', like a tense, it changes the conjugation of the verb.  It is used after certain phrases such as 'il faut que' (it is necessary that) and bien que (although) e.g. 'il faut que...

Apply differentiation through first principles and understand the first principles to find the derivatives of common functions. 

A titration reaction is used to calculate the conentration of an acid or alkali. The two solutions are combined, one of known and one of unknown concentration. When combined the hydrogen ions from the aci...

y''=d²y/dx², y'=dy/dx for ease of writing

First off split the full equation into th homogeneous equation and the particular function. 

The homogen...

The preterite is used to describe events that happened only once and have finished.

e.g. Antonio hizo sus deberes = Antonio did his homework (only once)

The imperfect, on the other hand, is ...