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(a) Use an Integrating Factor to solve the ordinary differential equation, r dy/dr + 2y =...

(a) Use an Integrating Factor to solve the ordinary differential equation,

r dy/dr + 2y = 4 ln r,

subject to the initial condition, y(1) = 0. [5 marks]

(b) Solve the ordinary differential equation which is given in part (a) by first making the substitution, r = e x , to transform it into a differential equation for y in terms of x. [5 marks]

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