In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For example, the change of 8-glucono lactone into gluconic acid has a rate dy -0.6y dt when t is measured in hours. If there are 100 grams of 8-glucono lactone present when t = 0, how many grams will be left after the first hour?

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Q: In the equation, x2 +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: In some chemical reactions,the rate at which the amount of a substance changes with time…

A:

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Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.