Question 2 Consider the Cauchy-Euler differential equation +2 day dy + 2x dx2 - 6y = 0,x > 0. dx a) Using the transforma
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Question 2 Consider the Cauchy-Euler differential equation +2 day dy + 2x dx2 - 6y = 0,x > 0. dx a) Using the transforma
Question 2 Consider the Cauchy-Euler differential equation +2 day dy + 2x dx2 - 6y = 0,x > 0. dx a) Using the transformation x = e', express the differential equation in terms of one with constant coefficients. [3 marks). b) Hence solve the differential equation with the boundary conditions for y(x): y(1) = y'(1) = 2. [7 marks]
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