Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t and (b) the time needed for the bacteria to grow to 1600 strands.

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A: This question is related to the population growth, We will solve it using integration.

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Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100mg of radium…

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A: This question is based on application of diffrential equation.

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A: image is attached

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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.