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Find the solution of the differential equation: dy/dx = (xy^2 + x)/y. There is no need to rearrange the solution to be in terms of y.

This is a separable differential equation, so the first step is to separate the two variables. Factorise out the x from the top bracket so that the equation becomes: dy/dx = x(y^2+1)/yThe next step is to mul...
TS
Answered by Thomas S. • Maths tutor
4281 Views

Simplify fully (3x^2-8x-3)/(2x^2-6x)

First I would look for common factors in either the numerator or the denominator. The denominator has the common factor of (2x) so i would factorise it by 2x in order to give (3x 2 -8x-3)/(2x)(x-3)Then I wou...
JA
Answered by James A. • Maths tutor
3755 Views

A-level circle question

Answer will be provided during session (easier to write maths than to type)
Answered by • Maths tutor
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How do we complete the square with questions involving a number stuck with the x-squared?

Let me show you an example:Complete the square for the following equation....4x 2 + 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to complete the squ...
DS
Answered by Dhruv S. • Maths tutor
3348 Views

An exam has two papers. Alan scores: 33 out of 60 on paper 1 & 75 out of 100 on paper 2. Work out his percentage score for the exam?

His total score is 33+75=108The total marks of the exam is 60+100=160His score as a fraction of the total marks is 108/160To find his percentage score, multiply 108/160 by 100 which is 67.5%
AH
Answered by Alan H. • Maths tutor
11406 Views