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Particular integrals will generally be derived in two different ways, depending on the type of the differential equation that you are solving. For example if it was a linear first order ODE, then you woul...

You can use estimation to work out the answer to this question. 21.7 × 9.4 is approximately 22 × 10 = 220. The answer will be the option that is closest to 220, which is option D. 

Since there is no further factorisation possible we use the quadratic formula x=[-b±√(b²-4ac)]/2a. From the equation in question we have  a=3, b=-7, c=3. Substituting into the quadratic formula...

We are required to solve this integral using integration by substitution, in which we assign a variable to equal a certain region of the integrated function in this case, 4x-1. The purpose of this is to r...

2x² - x - 6 = 0

This must first be factorised - I use the 'box method' when the reciprocal of x² is >1. This is difficult to explain via writing but it inv...