ez is a solution to the following ODE: y" - 2y - 8y = 0. Use Reduction of Order to find a 2nd linearly independent solut

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Ez Is A Solution To The Following Ode Y 2y 8y 0 Use Reduction Of Order To Find A 2nd Linearly Independent Solut 1 (120.75 KiB) Viewed 55 times

ez is a solution to the following ODE: y" - 2y - 8y = 0. Use Reduction of Order to find a 2nd linearly independent solution. Complete each step of the Reduction of Order process necessary to find the general solution of the ODE. Step 1: Let y = [Select] Then y'= [Select] You should also calculate y". Be sure to include this on your paper. Step 2: Substitute y, y, and y" into the ODE and simplify to get the equation: [ Select] Step 3: At this point, we can Reduce the Order by making the following substitution. Let w = u. Substitute this into the equation. Step 4: Solve the equation for w. Give the equation here [Select] Step 5: Remember that we made the substitute, wu'. Use this to solve for u. Step 6. Identify the two linearly independent solutions. 3/₁ = ez was given as one solution. A second linearly independent solution is [Select] >