A physicist is studying the relatioriship between the magnetic field strength x(in Tesla) and the electric field strength y (in volts per meter) at a particular point in space. The interaction betweeprthese fields uses an . At a certain moment, the magnetic flèld strength is x=2 Tesla and the electric field strength (sy=1 volt per meter. Which of the following equations best describes the relationship between the magnetic and electric field strengths at this point?

Explanation: 1. Identify the Differential Equation The equation is: Rearranging to find the derivative : 2. Solve by Homogeneous Substitution Let , which means . Substituting these into the original equation: Divide by : Group the terms: 3. Separate and Integrate Integrating both sides: The general solution results in: 4. Apply Initial Conditions Plug in and : Final Answer The exact relationship is:

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MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

A physicist is studying the relatioriship between the magnetic field strength x(in Tesla) and the electric field strength y (in volts per meter) at a particular point in space. The interaction betweeprthese fields uses an $e q u a t i o n :$ $(x^{3} - 3 x y^{2}) d x = (y^{3} - 3 x^{2} y) d y$ .

At a certain moment, the magnetic flèld strength is x=2 Tesla and the electric field strength (sy=1 volt per meter. Which of the following equations best describes the relationship between the magnetic and electric field strengths at this point?

Choose the correct answer: