Differential Equations

Learn everything you need to know about differential equations in math.

Differential Equations

Learn everything you need to know about differential equations in math.
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About the Class

What will you learn in this course?

  • Solve first-order linear differential equations LaTeX: y'-ky=f\left(x\right) using an integrating factor, given that LaTeX: k is a real constant or a function of LaTeX: x, and LaTeX: f is a function
  • Solve first-order linear differential equations given boundary conditions
  • Solve second-order ordinary differential equations with constant coefficients of the form LaTeX: ay''+by'+cy=0=f\left(x\right), where LaTeX: a,\:b,\:c\in\mathbb{R} and LaTeX: f(x) is:
    • A polynomial
    • An exponential function
    • A trigonometric function
  • The complementary function may consist of:
    • Real and distinct root
    • 2 equal roots
    • 2 complex roots
  • Solve second-order ordinary differential equation given boundary conditions
  • Use substitution to reduce a second-order ordinary differential equation to a suitable form

Author

Sean Hunte

Graduate Mathematics Teacher
I was once a student just like you. I struggled with Mathematics for the first two years of my secondary school life. In Third Form, my teacher, Dr Sargeant, taught Mathematics in a unique way which allowed me to successfully learn the subject which I was passionate about. Her teaching enabled me to in an area which I would eventually pursue as...

School

Math With Mr. Hunte

Many years ago, when I trained in the gym, the instructor often said to us young males who wanted to get a big chest and big arms as quickly as possible, "The fastest thing you will get in the gym is HURT."  Results take time. There is no quick fix to better grades. Practice is paramount to success in Mathematics. Therefore, we do not stop...

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What's Included

Language: English
Level: Intermediate
Skills: Differential Equations, Polynomial, Trigonometric Function, Math, Exponential Function
Age groups: 12-17 years
Duration: 2 hours 59 minutes
25 Videos
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