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First solve complementary function, i.e. d²x/dt² + 5dx/dt + 6x = 0. To do so, let x = e^mt, where m = arbitrary constant. Differentiating gives dx/dt = m e^mt and...

y=(x²-1)(x³+3) ...

There were 4 main causes leading to the First World War. Firstly, the immediate cause of the war was the assassination of Archduke Franz Ferdinand in 1914 by the Black Hand organisation of Serbian nationa...

S'il n'avait pas plu, elle serait allée au parc.
Just as in the English example, this 'Si' clause requires the pluperfect tense and the conditional perfect. 'Si' clauses are constructed around two e...

given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+...