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In what disciplines do differential equations play a prominent role?
In what disciplines do differential equations play a prominent role?
Engineering, physics, economics, and biology.
What is the main focus of the study of differential equations?
What is the main focus of the study of differential equations?
The study of their solutions and the properties of their solutions.
What do the functions and derivatives represent in a differential equation?
What do the functions and derivatives represent in a differential equation?
The functions generally represent physical quantities, and the derivatives represent their rates of change.
How are solutions of differential equations often approximated when a closed-form expression is not available?
How are solutions of differential equations often approximated when a closed-form expression is not available?
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Are all differential equations soluble by explicit formulas?
Are all differential equations soluble by explicit formulas?
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What is the purpose of formulating a problem in mathematical terms?
What is the purpose of formulating a problem in mathematical terms?
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What do many physical problems concern?
What do many physical problems concern?
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How are rates of change represented mathematically?
How are rates of change represented mathematically?
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What do mathematical models often involve?
What do mathematical models often involve?
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What are the subject of the book mentioned in the text?
What are the subject of the book mentioned in the text?
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