Answer to Question #108006 in Differential Equations for Nikesh gautam pandit ji

Question

a) Identify the type of the differential equation y = xy′ +1-ln y' and hence solve it

b) Using the method of undermined coefficients, find the general solution of the differential equation
y^iv-2y'''+2y"=3e^-x + 2e^-x + e^-x sin x

c) A simple series circuit has an inductor of 1 henry, a capacitor of 10^(-6) farads and a resistor of 1000 ohms. The initial charge on the capacitor is zero. If a 12 volt battery is connected to the circuit and the circuit is closed at t =0 , find the charge on the capacitor 1 second later and the steady state charge.

Answer 1

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