Differential Equations

• Differential equations are essential in calculus, explaining relationships between functions and their rates of change or derivatives.
• They are widely used in fields such as physics, engineering, and biology for modeling various phenomena.
• Solving a differential equation means determining the unknown function that meets the specified relationship.
• Techniques for solving these equations involve separation of variables, integrating factors, and numerical methods.
• Separation of variables is a crucial method, involving isolating the dependent variable and its derivative, followed by integration to derive the solution.
• Proper understanding and handling of differential equations will enhance calculus skills and equip one with necessary capabilities to handle complex problems across multiple disciplines.