Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem....
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
(1 point) Math 216 Homework webHW3, Problem 4 Consider the cascade of two tanks of brine shown in the figure below, with V-105 gallons and V2-209 gallons being the volumes of brine in the two tanks. Each tank also initially contains 52 lb of salt. The three flow rates indicated in the figure are each 5.1 gal/min, with pure water flowing into tank (Click on the picture to see a larger version.) (a) Find the amount x(t) of salt in...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds of salt in 100 wal of brine and tank 2 contains vit) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated in figure 1. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2...
(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...
dy 1.A. Solve the differential equation: = = y2ex dx dy B. Solve the initial value problem: + 2y = 3x2 ; y(0) = 1 dx C.A certain radioactive substance has a half life of 1300 years. Assume an amount yo was initially present. a.Find a formula for the amount of radioactive substance present at any time t. b.In how many years will only 1/10 of the original amount remain?
dy Solve the initial value problem (t+1). dt = y + (4t² + 4t) (t + 1), y(1) = 9 g(t) =
dy Solve the initial value problem (t+1) dt (4t2 + 4t) (t+1), y(1) = 7 y(t)
Solve the following initial value problem: dy/dt+ 0.3ty=4t with y(0)=9.
solve the differential equation dy y(x - y) dx x2
Solve the differential equation: (3- x?) y dy dx y +3/7–3