jacob jeffries

🎥**Watch: AP Calculus AB/BC - ****Separable Differential Equations**

The separation of variables is a technique for finding **general** solutions to a differential equation. In this context, “general solutions” means that we will be solving for a **set** or **family** of functions. This may seem like abstract wording, but this idea has already been explored in integration and antidifferentiation: 💯

This statement reads as “*C* is any real number, which implies *f(x) + C* is confined to a certain set of functions *S*.” Or, more simply put, this means that there are infinite solutions to Eq. 22, but the solution must include the condition that *C* is a constant that does not depend on *x*.

This means that *f(x) + C* is a general solution. A specific solution for this same example would be: *C* is a specific number. Differential equations function in a similar way. First, find a general solution, then find a specific solution if you are given more information. 📖

*To be continued in **7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables**.*

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✍️ Free Response Questions (FRQ)

👑 Unit 1: Limits & Continuity

🤓 Unit 2: Differentiation: Definition & Fundamental Properties

🤙🏽 Unit 3: Differentiation: Composite, Implicit & Inverse Functions

👀 Unit 4: Contextual Applications of the Differentiation

✨ Unit 5: Analytical Applications of Differentiation

🔥 Unit 6: Integration and Accumulation of Change

💎 Unit 7: Differential Equations

🐶 Unit 8: Applications of Integration

🦖 Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

♾ Unit 10: Infinite Sequences and Series (BC Only)

🧐 Multiple Choice Questions (MCQ)

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