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

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Presentation transcript:

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

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

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

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

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

Wednesday, March 21, 2018 MAT 146

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

Separable Differential Equations Wednesday, March 21, 2018 MAT 146

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

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

Separable Differential Equations Wednesday, March 21, 2018 MAT 146

Separable Differential Equations Wednesday, March 21, 2018 MAT 146

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