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Questions and Answers
What is a differential equation?
What is a differential equation?
- An equation involving a function and its derivatives (correct)
- An equation with no variables
- An equation with only derivatives
- An equation with only constants and variables
Why is the study of differential equations important?
Why is the study of differential equations important?
- They arise in various applications in science (correct)
- They are only used in mathematics
- They are purely theoretical and have no practical use
- They are outdated and not relevant to modern science
What is the general solution of a differential equation?
What is the general solution of a differential equation?
- A solution involving complex numbers
- A solution containing arbitrary constants (correct)
- A solution with no constants
- A solution that is always positive
What is the order of a differential equation?
What is the order of a differential equation?
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In the equation $\frac{dy}{dx} = 3x^2$, what is the particular solution?
In the equation $\frac{dy}{dx} = 3x^2$, what is the particular solution?
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