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There are as many fractions as there are factors of the denomenator.  If the denomenator of one of the partial fractions is linear then the numerator is a constant. If the denomenator is a linear term squ...

If you have a claim which says something about every element in a list of elements with each element depending on previous elements, induction might be a useful starting point. In your exams, that "l...

dy/dx = (dy/du)(1/x), d^2(y)/dx^2 = (d^2(y)/du^2)(1/(x^2)) - (dy/du)*(1/(x^2))   

(x^2)( (d^2(y)/du^2)(1/(x^2)) - (dy/du)(1/(x^2)) ) + x(dy/du)*(1/x) + y = 0       

How do I express complex numbers in the form re^iθ? Complex numbers have a general form of a+ib, i being imaginary. To answer this it is best shown on an argand diagram. Plot your complex number...

We start by finding the determinant of this matrix using the cofactor method (I.e for each entry in the matrix, cross out the row and column in which it resides and find the determinant of the matrix form...