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Calculus II (MAT 146) Dr. Day Monday, March 19, 2018

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Presentation on theme: "Calculus II (MAT 146) Dr. Day Monday, March 19, 2018"— Presentation transcript:

1 Calculus II (MAT 146) Dr. Day Monday, March 19, 2018
Differential Equations (Chapter 9) Graphical Representations of Solutions to Differential Equations (9.2) Numerical Representations of Solutions to Differential Equations (9.2) Wednesday, March 21, 2018 MAT 146

2 Wednesday, March 21, 2018 MAT 146

3 Wednesday, March 21, 2018 MAT 146

4 Wednesday, March 21, 2018 MAT 146

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6 Wednesday, March 21, 2018 MAT 146

7 knowing that (0,0) satisfies y
Solve the differential equation graphically by generating a slope field and then sketching in a solution: y’ = 2x – y knowing that (0,0) satisfies y Wednesday, March 21, 2018 MAT 146

8 with initial conditions (0,0)
y’ = 2x – y with initial conditions (0,0) Wednesday, March 21, 2018 MAT 146

9 Wednesday, March 21, 2018 MAT 146

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15 Wednesday, March 21, 2018 MAT 146

16 Solving Differential Equations
Solve for y: y’ = −y2 Wednesday, March 21, 2018 MAT 146

17 Separable Differential Equations
Wednesday, March 21, 2018 MAT 146

18 Separable Differential Equations
Solve for y: y’ = 3xy Wednesday, March 21, 2018 MAT 146

19 Separable Differential Equations
Solve for z: dz/dx+ 5ex+z = 0 Wednesday, March 21, 2018 MAT 146

20 Separable Differential Equations
Wednesday, March 21, 2018 MAT 146

21 Separable Differential Equations
Wednesday, March 21, 2018 MAT 146


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