8. The p.d., V, between the plates of a capac- itor C charged by a steady voltage E through a resistor R is given by the equation dV CR +V=E. dt (a) Solve the equation for V given that at t=0, V=0. (b) Calculate V, correct to 3 significant figures, when E=25V, C =20 x10-6F, R=200 x103 2 and t=3.0 s.

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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.