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  3. ZuAI AP College Board Calculus AB/BC
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Verifying Solutions for Differential Equations

Samuel Baker

Samuel Baker

6 min read

Next Topic - Sketching Slope Fields
Study Guide Overview

This study guide covers verifying solutions for differential equations. It explains the process of verifying solutions by substituting the derivative of a proposed solution into the differential equation. It includes examples demonstrating the verification process with step-by-step solutions. Key terms covered are general solutions and the verification process itself, using the product rule and differentiation techniques. Practice problems are also provided to reinforce the concepts.

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Previous Topic - Modeling Situations with Differential EquationsNext Topic - Sketching Slope Fields

Question 1 of 9

Which of the following represents a general solution to a differential equation?

y=x2y = x^2y=x2

y=x3+Cy = x^3 + Cy=x3+C

y=sin(x)y = sin(x)y=sin(x)

y=e2xy=e^{2x}y=e2x