What is the differential equation whose solution is the voltage VR across a resistor in a RL series circuit where the source is V? L aVR a. V = VR + R dt R dVR b. V = VR + L dt c. V= VR + LR dVR dt d. V = VR + 1 dVR LR dt e. None of the above

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Q: 1. Find the followingu--4t+ a. J(-4t + 1)°dt du=-4 di b. fre-*dr = fed (-r %3D | (1+3 In a)² dr C.…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.