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2 cards from this section. Quick, good the night before a test.
Identify the order and degree of the equation dy/dx + 2y = 0.
Count the highest derivative and its power.
What is the order of the equation d^3y/dx^3 + 4y = 5?
Look for the highest derivative present.
What is the order of the differential equation d^4y/dx^4 + 2y' = 3?
Focus on the maximum derivative to find the order.
True or False: The degree of a differential equation is the exponent of the highest order derivative.
Think about how we define the degree.
Given the differential equation (d^2y/dx^2)^2 + y' + y = 0, determine both the order and degree. Explain your reasoning.
Identify the main derivative before determining the polynomial nature.
Create a new example of a differential equation with order 3 but degree 1; explain your choice.
Focus on ensuring the highest derivative is counted and degrees are polynomial.
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