Final answer:
The student's question includes a differential equation with errors and incomplete information, making it unsolvable as presented. A correct and complete form of the equation is required for any attempt at solving it. Differential equations are a complex area of mathematics with significant applications in physics.
Step-by-step explanation:
The student's question appears to be asking for help solving a differential equation, but the equation provided contains typographical errors and incomplete equations, making it impossible to solve as is. Differential equations are mathematical equations that relate some function with its derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.
Moreover, the provided information seems to be a mix of unrelated physics and mathematics concepts, such as wave equations and trigonometric functions, which cannot be directly applied to solve the provided differential equation without additional context or correction to the errors.
While differential equations are a critical part of mathematics and are often applied in physics, the correct and complete form of the differential equation, along with proper boundary conditions, is essential for a solution to be obtained. Please provide a corrected and complete version of the problem for further assistance.