Worksheet: Reduction of Order for Second-Order Differential Equations
In this worksheet, we will practice using reduction of order to find a second solution to a second-order differential equation given the first solution.
Consider , where is defined on the interval . It is possible to rewrite this second-order differential equation as a system of two first-order differential equations using an appropriate change of variable. Using as the new variable, how can be rewritten as a system of two first-order differential equations?