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For two different values of r, the function y(t) = tr satisfies the differential equation?

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Final answer:

The question asks for two values of r that make the function y(t) = tr satisfy a particular differential equation, a common problem in the field of physics.

Step-by-step explanation:

The student's question involves finding two different values of r for which the function y(t) = tr satisfies a particular differential equation. This is a typical problem in physics where differential equations often describe motion, forces, and energy in systems. Finding solutions to differential equations is fundamental in understanding physical phenomena and their mathematical modeling. In the context of this question, r seems to be a constant, and the function y(t) appears to be representing a physical quantity that changes with time, such as position or velocity.

To solve this, we would typically take the derivative of the function y(t) with respect to time t. This would involve a straightforward calculation because r is a constant: dy/dt = r. The question suggests that r has two different values, which may relate to different physical situations or initial conditions within the problem.

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