Question

a simple electric water heater is can be modelled by .....differential equation
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Answer 1

Answer:

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Explanation:

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Answer 2

Homogeneous differential equation

A simple electric water heater is can be modelled by homogeneous differential equation.

• If the unknown function and its derivatives are homogeneous functions, the differential equation is homogeneous. This implies that there are no constant terms for linear differential equations.
• By integrating the homogeneous equation solution obtained by omitting the constant term, the solutions of any linear ordinary differential equation of any order can be determined.
• A linear differential equation is homogeneous if the unknown function and its derivatives are homogeneous linear equations. For every (non-zero) constant c, it follows that if (x) is a solution, then (c) is a solution as well.
• Each nonzero component of the linear differential equation must be dependent on the unknown function or any of its derivatives in order for this condition to hold.
• much more expensive to run. Because natural gas is less expensive than electricity and results in a reduced energy bill, homeowners frequently prefer gas water heaters over their electric equivalents.
• Electric water heaters are more efficient when compared to gas units in terms of heating capacity. Despite the fact that natural gas is less expensive than other fuels, gas hot water heaters use more energy to operate and emit waste into the environment.

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