2. Chemicals A and B are combined to form a chemical C. The rate at which chemical C is formed is proportional to the amounts of A and B not yet used. Initially there are 42 grams of A and 56 grams of B. For every 1 gram of A, exactly 5 grams of B are used. If X(t) is the number of grams of C produced at time t and 4 grams are produced after 10 minutes, write the differential equation and initial conditions that are satisfied by X(t). Do not solve.

Q: HW8 : Topic differential equations 6.)

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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.