CourseCourseQ BankQuestion BankDocsDocuments

7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables

Syllabus
2020
Topic
7.7
Level
—

Learning objectives

—FUN-7.E—Determine particular solutions to differential equations• FUN-7.E Determine particular solutions to differential equations.• FUN-7.E.1 A general solution may describe infinitely many solutions to a differential equation. There is only one particular solution passing through a given point.• FUN-7.E.2 The function F defined by F(x) = y₀ + ∫ₐˣ f(t)dt is a particular solution to the differential equation dy/dx = f(x), satisfying F(a) = y₀.• FUN-7.E.3 Solutions to differential equations may be subject to domain restrictions.• Enduring understanding FUN-7: Solving differential equations allows us to determine functions and develop models.

FUN-7.E—Determine particular solutions to differential equations

  • FUN-7.E Determine particular solutions to differential equations.
  • FUN-7.E.1 A general solution may describe infinitely many solutions to a differential equation. There is only one particular solution passing through a given point.
  • FUN-7.E.2 The function F defined by F(x) = y₀ + ∫ₐˣ f(t)dt is a particular solution to the differential equation dy/dx = f(x), satisfying F(a) = y₀.
  • FUN-7.E.3 Solutions to differential equations may be subject to domain restrictions.
  • Enduring understanding FUN-7: Solving differential equations allows us to determine functions and develop models.