Question: solve Exercise 2.1.5. For the equation x y -xy' = 0, find two solutions, show that they are linearly independent and find the general solution.

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Exercise 2.1.5. For the equation x y" -xy' = 0, find two solutions, show that they are linearly independent and find the general solution. Hint: Try y = ". Equations of the form ax y" + bry' + cy = 0 are called Euler's equations or Cauchy-Euler equations. They are solved by trying y = x" and solving for r (assume that x 2 0 for simplicity)

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