
2 and 3 please. Q1: Find the general solution to the ODE (12 +1) +3.ry =...
Q1: Find the general solution to the ODE: y'' + 4y' + 13y = 0.
1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which 150 lbs of salt is dissolved. A salt solution consisting of 0.5×(1 + e^(-0.02t)) lb. of salt per gallon (where t is time in unit of minute) is flowing into the tank at a rate of 10 gal./min and the mixed solution is drained from tank at the same rate. Find the amount of the salt in the tank after 1 hour. (10 points)...
5. Find the general solution to the ODE (2+1) y=x2 + 2x-1-4xy dx
For #1 and #2, find the general solution of the ODE system tX' = AX, t> 0. (You do NOT need to verify that the Wronskian is nonzero.) 1. A= ( 1)
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
(1 point) A tank holds 280 gallons of water than contains 35 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 2 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank. dy dt = (b) Write this equation in the correct form for using the method of separation of...
Each of the tanks shown in Figure 3.2.9 contains a brine solution. Assume that Tank 1 initially contains 30 gallons (gal) of water and 55 ounces (oz) of salt, and Tank 2 initially contains 20 gal of water and 26 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5 gal/min, and the well-stirred solution flows from Tank 1 to Tank 2 at a rate of 3 gal/min. Additionally, water containing 3...
1 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 1 kilograms per liter, and that the flow rates are r1 = r3 = 4 liters per minute, and r2 = r4 =...
Q2: Find the general solution to T' = AT where A is given by 1-3 -2] A = 2 1]' and then sketch a variety of solution curves.
Just letter answer is good,
thank you.
1. Given f(x,y) = 10r4y2-1lys, find fry(z, s). Q) 2. The graph of g'(x) is shown in figure. If g(3) 2 then what is the value of g(5)? g'(x) A. 2.0 B. 1.5 C. 2.5 6 12 3 D. 3.0 dy-r + si dx sin (2x) er 3. Find the general solution to the differential equation: B. 2x + 2 cos (r)-4e-4x + C D. none of the above llutant spilled on the...