The rate at which ice melts in water is actually proportional to the side length of the ice. a. Set up a differential eq

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The rate at which ice melts in water is actually proportional to the side length of the ice.
a. Set up a differential equation modeling the volume of the ice at any given time.b. What are the equilibrium solutions to the equation you set up? How would you interpret these solutionsin the “real world” (i.e. in the context of ice cubes melting in water)?c. An ice cube with side length 1.5cm was placed into the glass of lemonade. Solve the initial value problem.d. After 10 seconds, the volume of the ice is two-thirds of the initial volume. Solve for any unknowns inyour solution to the initial value problem.e. After 30 seconds, a second ice cube with a side length 1.5cm was placed into the water.The rate at which the volume of ice changes becomes one-third the original rate. What is the volume of ice in the lemonade after 90 seconds?