At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i) Compute the total amount of fuel the industry will consume in the next ten years. (ii) If the total supply of fuel available to the industry now and in the future is 136 million barrels, how many years will the supply last?

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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.