An L-R-C circuit has the following differential equation: (q = charge on capacitor) with q (0) = 1 Coulomb and  (0) = 0 amperes q ̈+10 q ̇+100 q=150 a. What is the charge on the capacitor after 0.10 seconds? b. What is the charge on the capacitor after a long time?

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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.