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Solving Differential Equations with Direction Fields and Integral Curves

This resource provides a comprehensive guide on solving first-order differential equations using direction fields and integral curves. We explore initial value problems (IVP) presented by equations such as y' = 3 + 2y, y' = -1 - 2y, y' = y², and y' = y(y - 2)². Additionally, the text discusses the application of Euler's method and the concept of separable equations. Perfect for students and educators looking to deepen their understanding of differential equations and their graphical representations.

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Solving Differential Equations with Direction Fields and Integral Curves

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Presentation Transcript

  1. EQUAÇÕES DIFERENCIAIS

  2. CURVAS INTEGRAIS

  3. CAMPO DE DIREÇÕES

  4. PROBLEMA COM VALOR INICIAL (pvi)

  5. CAMPO DE DIREÇÕES E CURVAS INTEGRAIS y´ = 3 + 2y

  6. CAMPO DE DIREÇÕES E CURVAS INTEGRAIS y’ = -1- 2y

  7. CAMPO DE DIREÇÕES E CURVAS INTEGRAIS y’=y2

  8. CAMPO DE DIREÇÕES E CURVAS INTEGRAIS y’ = y(y - 2)2

  9. METODO DE EULER

  10. EQUAÇÕES SEPARÁVEIS

  11. APLICAÇÕES

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