A circuit consists of a resistor of resistance R and a capacitor of capacitance C, connected in series, and is described by the first order dv differential equation RC- + v = E where E is the constant e.m.f. and v is the voltage across the capacitor. Given that v(0) = 0, dt show by using Linear differential equation method that v = E1-e RC

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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.