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?

Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a…

A: Here we can form the differential equation representing the change in amount of salt as follows…

Q: number who have not heard it, determine an equation for the number of students who have hear the…

A: We have to find out the equation of the given problem.

Q: .IfFrank şells his stock then stock prices are high but if stock prices are low then he buys stock.…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: The reason for changing a population of coyotes N(t) is proportional to (650 – N), where "t" is the…

A: Let Nt be the population of the coyotes after t years. Consider the given statement as the rate of…

Q: An RCL cireuit connected in series with a resistance of 4 ohms, a capacitor of 1/26 farad, and an…

A:

Q: This problem deals with the RC circuit shown to the right containing a resistor (Rohma), a capacitor…

A: Solution is below

Q: Answer [(a.) t = 300 hours] 1. In differential equation determine the following:  (A.) the time when…

A: Use total rate of change of salt

Q: A thermometer is moved from a room where the temperature is 68 °F to a freezer where the temperature…

A: (a) The thermometer is moved to the freezer, so the surrounding temperature is 12°F

Q: A bucket of beluga food was removed from the refrigerator at 0600 hrs when its temperature was 40°F.…

A: Here, the bucket of beluga food has an initial temperature of 40oF at 6:00 am (or 0600 hrs) and a…

Q: A given field mouse population satisfies the differential equation dp dt 0.2p - 320. where p is the…

A: We are given the first order differential equation which is variable separable. First we will find…

Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

A:

Q: Solve the following equation y'=x/y=0 x=-1.y=6 2:38 PM

A: Solution of the differential equation

Q: Assume that the number of people y(t) (in million) who have heard the President announcement  to…

A: Given the differential equation :

Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: A tank drains at a rate described by the differential equation below. At what time (t) will the tank…

A:

Q: We are given this situation to model using a differential equation: Snow is falling at a constant…

A: An autonomous differential equation is an equation of the formdydt=f(y)." data-mce-style="margin:…

Q: A body was found in a room when the room's temperature was 75°F. Let f(t) denote the temperature of…

A:

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A: Given that a radioactive isotope has a half life of 1 min. The amount of material, At, at t=0 is 10…

Q: For this problem A is the amount of salt in the tank. If a tank contains 150 liters of liquid with…

A: Given  A tank contains 150 liters of liquid with 18 grams of salt. A mixture containing 6 grams per…

Q: A 9 m tall conical reservoir, like the one shown in the figure on the right, it is filled to the top…

A: Consider the given information:

Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = xy

A:

Q: 2. Solve the differential equationa y" + 3y = csc V3x O %3D

A:

Q: An object attached to a spring undergoes simple harmonic motion modeled by the differential equation…

A: Given, mass (m) = 17 kg displacement of spring (x) = 0.2 meters a = g = 9.8 m/s2 We know , F = kx…

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.