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Maths
A Level

2+2 is 4, minus 1, that's what?

  1. Quick maths.
JF
Answered by Joe F. Maths tutor
4441 Views

Find the values of the constants a and b for which ax + b is a particular integral of the differential equation 2y' + 5y = 10x. Hence find the general solution of 2y' + 5y = 10x .

We start by letting yp = ax+b, as suggested, and finding the derivative yp' = a. Substituing into ODE  (by way of matching coefficients) gives a pair of simulataneous (algebraic) equations:

(1) 2a=...

BR
Answered by Ben R. Maths tutor
4795 Views

Why is 2 + 2 not equal to 12?

This might seem like an obvious question and the instinctive urge is to disregard it entirely. Perhaps you would think "well that's silly, it's just not!"

Well, that's the intention of th...

XJ
Answered by Xav J. Maths tutor
4320 Views

integrate e^x sin x dx

1/2 ex (sin x -cos x)

SJ
Answered by Sam J. Maths tutor
4600 Views

Derive the quadratic formula (Hint: complete the square)

Firstly, the quadratic formula finds the roots of a quadratic equation. 
So this means f(x) = 0. A general polynomial with highest power 2 looks like: ax+ bx +c.
Usings the two fa...

RK
Answered by Riu K. Maths tutor
3856 Views

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