Differential Equations

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Chapter 9: Differential Equations (20 videos)   (Practice Test)
9.1: Introduction  (Practice Test)
  1. Introduction to Parabola
  2. More on Introduction to Parabola
  3. Terms Related to Parabola
  4. General Form of Equation of Parabola
  5. Other Standard Parabola
  6. Graph of Parabola Facing Upward
  7. Graph of Parabola Facing Downward
  8. Graph of Parabola Facing Rightward
  9. Graph of Parabola Facing Leftward
  10. Problem Related with Parabola
  11. Parabola with Vertex not at Origin
  12. More on Parabola with Vertex not at Origin
  13. Problem-Parabola with Vertex not at Origin
  14. Graphing Parabola with Vertex not at Origin
  15. More on Graphing Parabola with Vertex not at Origin
  16. Finding Equation of Parabola with Focus and Vertex
  17. Finding Equation of Parabola with Directrix and Vertex
  18. Problem1-Finding Equation of Parabola with Focus and Vertex
  19. Problem2-Finding Equation of Parabola with Focus and Vertex
  20. Problem3-Finding Equation of Parabola with Focus and Vertex
  21. Intersection of Line and Parabola
  22. More on Intersection of Line and Parabola
  23. Equation of Tangent Line to Parabola in Slope Form
  24. Equation of Tangent Line to Parabola at Given Point
  25. Problem-Equation of Tangent Line to Parabola at Given Point
  26. Equation of Normal Line to Parabola at Given Point
  27. Problem1-Equation of Normal Line to Parabola at Given Point
  28. Application of Parabola-Suspension Related Problem
  29. Reflecting Property of Parabola
  30. Use of Parabola on Everyday Life-Problem
9.2: Formation of Differential Equation
  1. Obtaining Standard Equation of Ellipse
  2. More on Obtaining Standard Equation of Ellipse-1
  3. More on Obtaining Standard Equation of Ellipse-2
  4. More on Obtaining Standard Equation of Ellipse-3
  5. Circle as Special Case of Ellipse
  6. Basic Terms Associated with Ellipse
  7. More on Basic Terms Associated with Ellipse
  8. Standard Form of Vertical and Horizontal Ellipses
  9. Problem1-Standard Form of Vertical and Horizontal Ellipses
  10. Translation of Horizontal Ellipse
  11. More on Translation of Horizontal Ellipse
  12. Translation of Vertical Ellipse
  13. More on Translation of Vertical Ellipse
  14. Equation of Ellipse with Foci and Vertices
  15. Problem1-Equation of Ellipse with Foci and Vertices
  16. Problem3-Equation of Ellipse with Foci and Vertices
  17. Ellipse Equation with Centre and Length of Axes
  18. Ellipse Equation with Centre and Given Point
  19. More on Ellipse Equation with Centre and Given Point
  20. Points of Intersection of Line and Ellipse
  21. More on Points of Intersection of Line and Ellipse
  22. Condition of Tangency of Line to Ellipse
  23. Equation of Tangent to Ellipse at Point
  24. More on Equation of Tangent to Ellipse at Point
  25. Equation of Normal to Ellipse at Point
  26. More on Equation of Normal to Ellipse at Point
  27. Problem1a-Equation of Normal to Ellipse at Point
  28. Problem1b-Equation of Normal to Ellipse at Point
  29. Graph of Ellipse
  30. More on Graph of Ellipse
9.3: Solving Differential Equations  (Practice Test)
  1. Defining Hyperbola
  2. Standard Form of Equation of Hyperbola
  3. More on Standard Form of Equation of Hyperbola
  4. More on Standard Form of Equation of Hyperbola
  5. Asymptotes of Hyperbola
  6. Foci of Hyperbola
  7. More on Foci of Hyperbola
  8. Problem1-Foci of Hyperbola
  9. Horizontal Hyperbola
  10. Vertical Hyperbola
  11. Rectangular Hyperbola
  12. Graphing Hyperbola
  13. More on Graphing Hyperbola
  14. Problem1-Graphing Hyperbola
  15. Problem2-Graphing Hyperbola
  16. Hyperbola with Focus and Eccentricity
  17. Graphing Hyperbola with Eccentricity and Latus Rectum
  18. Graphing Hyperbola with Focus and Directrix
  19. Translation of Hyperbola with Horizontally
  20. More on Translation of Hyperbola with Horizontally
  21. Translation of Hyperbola Vertically
  22. Point of Intersection of Line with Hyperbola
  23. Condition of Tangency of Line to Hyperbola
  24. Problem- Condition of Tangency of Line to Hyperbola
  25. Equation of Tangent Line to Hyperbola at Point
  26. More on Equation of Tangent Line to Hyperbola at Point
  27. Problem- Equation of Tangent Line to Hyperbola at Point
  28. Equation of Normal Line to Hyperbola at Point
9.4: Orthogonal Trajectories  (Practice Test)
  1. Translation of Axes
  2. Problem1-Translation of Axes
  3. Problem2-Translation of Axes
  4. Rotation of Axes
  5. Problem1- Rotation of axis
  6. More on Rotation of Axes
  7. Rotation of Conic
  8. More on Rotation of Conic
  9. Problem1a-Rotation of Conic
  10. Problem1b-Rotation of Conic
  11. Problem1b-Rotation of Conic
  12. Problem1d-Rotation of Conic
  13. Problem2a-Rotation of Conic
  14. Problem2b-Rotation of Conic
 

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