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AP Calculus AB 6.3 Separation of Variables Objective: Recognize and solve differential equations by separation of variables. Use differential equations.

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Presentation on theme: "AP Calculus AB 6.3 Separation of Variables Objective: Recognize and solve differential equations by separation of variables. Use differential equations."— Presentation transcript:

1 AP Calculus AB 6.3 Separation of Variables Objective: Recognize and solve differential equations by separation of variables. Use differential equations to model and solve applied problems.

2 Find the General Solution of the Differential Equation

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7 AP Calculus AB 6.1 Slope Fields Solving Differential Equations Objective: Use initial conditions to find particular solutions and use slope fields to approximate solutions of differential equations

8 6.1 Formative Assessment Pg. 410 (37-48) We are going to do #45 and #46 together

9 Pg. 410 #45 Separate the Variables Integrate Both Sides

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11 Pg. 410 #46 Separate the Variables Integrate Both Sides

12 Solve: 3 Minutes

13 Formative Assessment 6.3 Pg. 429 (1-12) 6.1 Pg. 410 (37-48) 1.Separate the Variables 2.Integrate Both Sides 3.Constant of Integration If you would like the Slope Fields Program for your calculator, please bring me your calculator to download

14 Formative Assessment Pg. 429 (1-12) 1.Separate the Variables 2.Integrate Both Sides 3.Constant of Integration 4.Still More to Come!


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