A Complete Guide to 1st-Order Ordinary Differential Equation

A Complete Guide to 1st-Order Ordinary Differential Equation

Construct and solve real-life examples using first-order ordinary differential equations



Sub Category

  • Math

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Objectives

  • Identify a differential equation's type, order, and linearity
  • Verify solutions to differential equations
  • Find the solution to a first-order ODE by separation of variables
  • Use initial conditions to solve initial-value problems
  • Construct differential equations as mathematical models
  • Understand and solve different population models
  • Construct and solve mixture problems using first-order linear ODE
  • Construct and solve differential equations related to series circuits
  • Construct and solve differential equations as mathematical models describing motion
  • Understand and apply Torricelli's Law
  • Solve a homogeneous first-order equation
  • Solve an exact first-order equation
  • Make a non-extract equation exact by multiplying an integrating factor
  • Identify a Bernoulli's equation and find the solution of the DE using substitution
  • Solve a first-order ODE by substitution


Pre Requisites

  1. Calculus 3 (Multivariable Calculus)
  2. Linear Algebra


FAQ

  • Q. How long do I have access to the course materials?
    • A. You can view and review the lecture materials indefinitely, like an on-demand channel.
  • Q. Can I take my courses with me wherever I go?
    • A. Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!



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