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Further Mathematics
A Level

Find the general solution to y''+2y'-3y=x

y''=d2y/dx2, y'=dy/dx for ease of writing

First off split the full equation into th homogeneous equation and the particular function. 

The homogen...

Answered by Zara G. Further Mathematics tutor
6966 Views

Find the first three non-zero terms of the Taylor series for f(x) = tan(x).

We have that the Taylor series of a function infinitely differentiable at a x = a is given by the expansion: f(x) = f(a) + f'(a)(x - a) + f''(a

Answered by Ashwin S. Further Mathematics tutor
10764 Views

The quadratic equation x^2-6x+14=0 has roots alpha and beta. a) Write down the value of alpha+beta and the value of alpha*beta. b) Find a quadratic equation, with integer coefficients which has roots alpha/beta and beta/alpha.

a) We know that, for a general quadratic equation that can be written as : ax2+bx+c=0, the sum of its roots (S) is equal to -b/a and the product of its roots (P...

Answered by Blanche C. Further Mathematics tutor
25459 Views

A useful practice: how to determine the number of solutions of a system of linear equations beforehand

We have a system of n linear equations incorporated by Ax = b, with being a n x p matrix of numeric coefficients, x being a p-dime...

Answered by Federico B. Further Mathematics tutor
2826 Views

Find the determinant of a 3x3 matrix.

Will need a whiteboard so I can draw a matrix to fully explain.

Answered by Shaun M. Further Mathematics tutor
2230 Views

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