Particular Solutions (Edexcel A-Level Mathematics): Flashcards
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Practise the cards
10 cards from this deck
Define a differential equation in mathematics.
Define a differential equation in mathematics.
An equation that relates a function to its derivatives.
What is the goal of solving a differential equation?
What is the goal of solving a differential equation?
Find a function that satisfies the equation.
What indicates a general solution in DE?
What indicates a general solution in DE?
It contains a constant, usually denoted by .
What defines a particular solution of a differential equation?
What defines a particular solution of a differential equation?
It includes specific values for the constants involved.
Example equation of a curve from ?
Example equation of a curve from ?
, using integration.
What is the method of separating variables?
What is the method of separating variables?
Organizing and on opposite sides.
What is the solution to ?
What is the solution to ?
, where is a constant.
What is the max height of a shrub modeled by DE?
What is the max height of a shrub modeled by DE?
6 meters, as approaches 6.
Write the differential equation for water flow.
Write the differential equation for water flow.
, where is a proportional constant.
Find when in the water tank model equation.
Find when in the water tank model equation.
minutes from the tank model equation result.
