Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account earns 10% interest, and you deposit 4% of your annual income. Your current annual income is $30000, but it is growing at a continuous rate of 3% per year. Write the differential equation modeling this situation. dy dt

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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.