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What is the general solution to the equation d2y/dx2 + dy/dx - 2y = -3sinx + cosx (d2y/dx2 signals a second order derivative)

The first step is to find the complementary function, yc, which is done by setting up a quadratic based upon the differential equation of the form m^2 + m -2 = 0 (i.e m^2 = d2y/dx2, m = dy/dx, and y is a con...
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Split the following expression into partial fractions of the form A/(x-3) + B/(4x+2) : (19x-15)/(4x+2)(x-3)

Set the expression equal to the form required in the solution. Multiply both sides by (4x-2)(x-3) to get rid of the denominator and acquire an expression of the form: 19x-15 = A(4x+2) + B(x-3). From here the...
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Answered by Alec S. • Maths tutor
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How should I structure my essays?

When writing essays you should always think PEEL. One of the most frequent and very avoidable mistakes is not actually answering the question that has been asked; the PEEL structure will ensure you avoid thi...
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Answered by Adele O. • English tutor
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How far did 'peaceful coexistence' ease Cold War tensions between 1953-1961?

During the years 1953-1961, there are certainly factors which would suggest an easing of tensions between the USA and USSR. One such was the signing of the Korean Armistice in 1953, which ended direct confli...
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Answered by Melissa B. • History tutor
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Describe and explain what happens to enzyme activity as the pH is decreased below the optimum pH.

Describe: As the pH decreases below the optimum, enzyme activity also decreases. Explain: As pH decreases, the concentration of hydrogen ions increases (the environment becomes more acidic). Enzymes are prot...
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Answered by Emma R. • Biology tutor
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