Final answer:
The student appears to be asking for assistance with solving a differential equation and related quadratic equations. Differential equations can often be solved by separating variables and integrating, while quadratic equations are solved using the quadratic formula. A clearer question is needed for a precise solution.
Step-by-step explanation:
The question seems to be asking for the general solution of a differential equation. The problem appears to reference several potential solutions or steps in finding the general solution of a differential equation. It is important when tackling these problems to identify the type of differential equation, separate the variables if possible, and integrate both sides to find the general solution.
The provided segments mention substituting values and solving quadratic equations which are common when dealing with first or second-order differential equations. Remember that a quadratic equation of the form at² + bt + c = 0 can be solved using the quadratic formula, where a, b, and c are constants, and t represents the variable.
Finally, it's worth noting that without a clear and properly formatted initial question, it's challenging to provide a step-by-step solution. To solve a differential equation, one generally rearranges the equation to separate variables and then integrates both sides to find the solution.