Question: 2. (a) Write out the general solution to y - 2Ry' + Ray = 0 (2) where R is some constant. (b) Introduce a new

2. (a) Write out the general solution to y" - 2Ry' + Ray = 0 (2) where R is some constant. (b) Introduce a new function z = z(t) defined by z =y' - Ry. (3) By differentiating z, show that Equation (2) can be written as a first-order differential equation in z (there should be no y present in the equation). Solve this to find the general solution for z(t). (c) Using your general solution for z(t) from Part (b), solve (3) to find the general solution for y

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