Differential Equations

Study of equations involving derivatives and their applications.

What are Differential Equations?First-Order Differential Equations Initial Value Problems

Advanced Topics

Second-Order Differential Equations Systems of Differential Equations Partial Differential Equations (PDEs)

Practical Applications

Modeling Population Growth Physics: Motion and Forces Medicine: Drug Dosage and Decay

Study Strategies

Break Down the Problem Check Your Solution

What are Differentia...First-Order Differen...Initial Value Proble...Second-Order Differe...Systems of Different...Partial Differential...Modeling Population ...Physics: Motion and ...Medicine: Drug Dosag...Break Down the Probl...Check Your Solution

Study Strategies

Check Your Solution

Always Double-Check

After solving, plug your solution back into the original equation to ensure it works. This catches mistakes and helps you understand why your answer is correct.

Examples

Substitute your answer for \( y \) into the differential equation to verify both sides match.
Use your initial condition to check if your solution fits the starting value.

Break Down the Problem

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