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Given a differential equation (*), show that the solution curve is either a straight line or a parabola and find the equations of these curves.

This question is takes from the 2008 STEP I paper (Question 8). We are first given (dy/dx)^2 + x dy/dx + y = 0 where y is a function of x. Differentiating both sides of the equation with respect to x, gives:...
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Answered by Samuel B. • STEP tutor
2137 Views

I don't understand, what do you use sin, cos and tan for?

Sin, cos and tan are functions that help you work out either, the missing angle or one of the missing lengths of a side in a right angle triangle.To work out the missing angle you need two side lengths, depe...
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Answered by Joe D. • Maths tutor
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Rearrange the formula to make a the subject: b = (2a + 5)/3

b = (2a + 5)/3 Step 1 - Multiply both sides by 33b = 2a + 5Step 2 - subtract 53b - 5 = 2aStep 3 - divide by 2(3b - 5)/2 = a
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Answered by Annie B. • Maths tutor
5151 Views

Integrate cos(log(x)) dx

There are several approaches to integrating this function, thus making this a valuable exercise for students needing to develop fluency with the various techniques of integration and practise dealing with in...
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5213 Views

Explain the impact an increase in cost of productions might have on the market price and output of a good

An increase in the cost of productions of a product would lead to several decisions being made the producer; they may either keep their market price the same, reducing their profit margins, or they may incre...
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Answered by Ahmed R. • Economics tutor
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