3. Use the steps (a)-(e) below to solve + 2y + (e- 3)y = 0....

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3. Use the steps (a)-(e) below to solve " + 2y + (e- 3)y = 0. Define a new independent variable : = and express y' and y" in terms of : and derivatives with respect to z. b. Introduce a new dependent variable w = ey and express y and its derivatives with respect to z in terms of w and its derivatives with respect to z. C. Rewrite Equation (1) in terms of ur and 2, showing that it is a Bessel equation of some order v. Then write the general solution to Equation (1) for y in terms of r. 3. Use the steps (a)-(e) below to solve " + 2y + (e- 3)y = 0. Define a new independent variable : = and express y' and y" in terms of : and derivatives with respect to z. b. Introduce a new dependent variable w = ey and express y and its derivatives with respect to z in terms of w and its derivatives with respect to z. C. Rewrite Equation (1) in terms of ur and 2, showing that it is a Bessel equation of some order v. Then write the general solution to Equation (1) for y in terms of r.