Be careful to note what a GCSE question is asking. If it states ‘solve algebraically’ then you must do so. To find solutions from graphs, look for the point where the two graphs cross one another.

Differential equations are equations that contain derivatives. The equations are used in calculus to describe relationships among one or more variables. A solution to any series of equations can be ...

BOOK 3 of Dr. Curzon's attempt to deal with school mathematics contains many problems, including compound interest, discount, stocks and shares, some arithmetic like square roots, the solid geometry ...

Control and inverse problems in wave equations and graphs constitute a dynamic field at the intersection of applied mathematics, engineering and physics. This area investigates how waves propagating ...

The characteristic functions satisfying (2) below are proved to be essentially the semi-stable laws. Auxiliary simultaneous integral equations are studied in Theorems 1, 2, 2' and 3. The final form of ...