FUN-7.E—Determine particular solutions to differential equations
Syllabus
2020
Objective
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Level
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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.