Depending on the Type of Soil There Is a Constant $\mathrm { y } ^ { \prime } = \mathrm { k } ( \mathrm { M } - \mathrm { y } ) ; \mathrm { k } > 0 ?$

True/False

Depending on the type of soil there is a constant M that represents the maximum amount of water the soil can absorb per cubic ft. If the rate of absorption is proportional to the difference between the maximum amount of water that could be absorbed and the amount of water that has been absorbed, write a differential equation satisfied by y = f(t), the amount of water in the soil at time t. Does this equation accurately describe this situation: $\mathrm { y } ^ { \prime } = \mathrm { k } ( \mathrm { M } - \mathrm { y } ) ; \mathrm { k } > 0 ?$