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Give the general solution to the Ordinary Differential Equation: (dy/dx) + 2y/x = 3x+2

It can first be observed that this differential equation is linear, so we can solve it by multiplying the whole equation by the integrating factor. As there is no coefficient in front of the dy/dx term, we d...
VG
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Let f ( x ) = 15 /x and g ( x ) = 2 x − 5 Find fg(4), gf(-30) and give the expression for gf(x)

Key here is the order of operation.g(4) =2x4 - 5=8-5=3fg(4) = f(3)=15/3=5gf(-30)f(-30)=15/-30=-1/2gf(-30)=g(-1/2)=2x-1/2 -5=-1-5=-6gf(x)f(x)=15/xg(15/x)=2*15/x -5=30/x -5
EM
Answered by Eddie M. • Maths tutor
6065 Views

What is the passé simple, and why/when is it used?

The passé simple, or passé historique, is a more formal or literary past tense in French. It conveys past, completed actions - not unlike the passé composé. You will often find it in literary texts, particul...
JD
Answered by Josie D. • French tutor
4871 Views

How should I approach a translation (DE-EN) in an exam?

Some exam boards include a translation of a short text, usually journalistic, from German into English as part of their reading exam. This exists to test your reading comprehension, as well as your ability t...
JD
Answered by Josie D. • German tutor
2155 Views

What is injection moulding?

Injection moulding is a forming process in which plastic products can be created. There are 4 key stages involved in the process:The first stage is feeding plastic granules into a hopper which will keep them...
AP
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