Rate in = 10 gallons per minute Rate out = 10 gallons per minute Concentration = 0.5 lbs per gallon Initial Volume = 1000 gallons of fresh distilled water Capacity volume = 1200 gallons   Find the solution of the differential equation for the net rate of change of the soluble amount if the initial concentration of the tank is changed to 0.02 pounds of salt per gallon. What is the value of c in the equation y=c*e^(r*t)+b?

Q: G.E. T = dx² B.C. - KaIT) = h, (T001 - 7)x=0) -kat dx X=0 - KOT =h₂(T/ - To 2) x=L

A:

Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

Q: Please Solve Using Differential Equation Thank you!

A: −9596 Dollers per Day Explanation:

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Eliminate the arbitrary constant/s find: -first derivative -second derivative -final answer please…

A:

Q: The price P of a gallon of gas after t years is given by the : Po(1+ r)', where P, is the initial…

A: Given, The price P of a gallon of gas after t years is given by the equation  P = P0(1+r)t , Where…

Q: /ae² + 2=*dz Find Use C as the constant of integration. You may omit absolute value signs from any…

A: We can find the answer as below

Q: II. Newton's Law of Cooling A heated metal is placed in cooler surroundings. Its rate of cooling is…

A: Use formula of Newton's law of cooling

Q: 3 (x-2) y'= y + 2(x-2)

A:

Q: A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt…

A:

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

A:

Q: Find y1 y=(ln x)-1

A:

Q: do mgl (i-coso)= E %3D

A:

Q: A tank contains 70 kg of salt and 1000 L of water. A solution of a concentration 0.035 kg of salt…

A:

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.