Ohm's law says that when electric current is flowing across a resistor, then the voltage v, measured in volts, is the product of the current i, measured in amperes, and the resistance R, measured in ohms. That is, v = iR. (a) What is the voltage if the current is 42 amperes and the resistance is 27 ohms? v =  volts (b) Find a formula expressing resistance as a function of current and voltage. Use your function to find the resistance if the current is 15 amperes and the voltage is 12 volts. (Round your answer to one decimal place.) R =  ohms (c) Find a formula expressing current as a function of voltage and resistance. Use your function to find the current if the voltage is 2 volts and the resistance is 8 ohms. (Round your answer to two decimal places.) i =  ampere

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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.