Perplex
  • Lessons
  • Problems
  • Speed Run
  • Practice Tests
  • Skill Checklist
  • Review Videos
  • All Content
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AAHL
    /
    Differential Equations
    /

    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Differential Equations

    Video Reviews

    Watch comprehensive video reviews for Differential Equations, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    The video will automatically pause when it reaches a problem.

    Homogeneous Equation

    AHL 5.18

    dxdy​=f(xy​)🚫


    Let y=vx, then v=xy​.


    Note: You will be told to use the substitution y=vx.

    Example:

    y′=xy+x​

    Let y=vx, then (vx)′=xvx+x​=v+1

    v+xdxdv​=v+1
    xdxdv​=1
    ∫dv=∫x1​dx
    v=ln∣x∣+C
    y=x(ln∣x∣+C)

    Homogeneous Equation

    AHL 5.18

    dxdy​=f(xy​)🚫


    Let y=vx, then v=xy​.


    Note: You will be told to use the substitution y=vx.

    Example:

    y′=xy+x​

    Let y=vx, then (vx)′=xvx+x​=v+1

    v+xdxdv​=v+1
    xdxdv​=1
    ∫dv=∫x1​dx
    v=ln∣x∣+C
    y=x(ln∣x∣+C)