Differential Equations quizzes
How differential equations describe change, from cooling coffee to swaying bridges.
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From Differential Equations: The Math of Cooling Coffee and Swaying Bridges
What is the solution of dy/dx = y with y(0) = 3?
- y = 3eˣ
- y = eˣ + 3
- y = 3x
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Answer: y = 3eˣ
Every solution of y′ = y is Ceˣ; the condition y(0) = 3 fixes C = 3. eˣ + 3 has slope eˣ, which isn't equal to y.
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