A ball is thrown straight up from the ground. If the ball is to reach a max height of 64 feet, what should the initial velocity be? s(0)=0; a(t)=-32 ft/sec2

Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: Using variable separable method.

Q: Suppose a 1000L tank contains 400 L of fresh water at time t = 0. At that time, a salt water…

A: The solution of above question is written below.

Q: Determine the quadrants in which the solution of the differential equation dy/dx = (1/2)xy is an…

A:

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

A:

Q: determine if the equation below is seperable. If it is, solve the given initial value problem

A: Check whether the differential equation is separable or not

Q: dy - te-, y(1) =0 dt Solve the Initial Value Problem:

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt =…

A:

Q: B- Solve one of the following initial value problems for y as a function of x: 2. = - 1, y(0) = 1 dx

A: Given initial value problem dydx=1x2+1 -1      , y0=1

Q: Solve the Initial Value Problem when r = 0.1 and h(0) = 6. Given the IVP in Part A, how long will it…

A: In this question, we have given a problem about the water leak from the circular cylinder. Given…

Q: A population of insects grows at a rate that is given by dN = 0.078N dt - If there are initially 100…

A:

Q: Suppose that a quantity y = y(t) increases at a rate that is proportional to the square of the…

A: Given that a quantity y=y(t) increases at a rate that is proportional to the square of the amount…

Q: Solve the initial-value problem for x as a function of t . dx (2t3 – 2t? + t – 1)- = 3, x(2) = 0 dt

A:

Q: Solve the initial value problem given by y' = (x2 + 2y2)/(xy) ,  y(1) = 1 What is the interval of…

A:

Q: Suppose that glucose enters the bloodstream at the constant rate of r grams per minute while it is…

A:

Q: - 1 - 1 dx ?

A:

Q: Solve the initial value problem to find f(x), given 2 =1+ 4x? when f(-1) = 4 dx

A: Satisfied condition of differential equation

Q: The number of customers in a store is modeled by the function P that satisfies the logistical…

A:

Q: Find the Bolution to Hhe initial value problem - Please Write the folution with the computer.

A: Solution of Linear Differential Equation with Constant Coefficients: The general form of linear…

Q: The differential equation for a freee-falling mass m near the surface of the earth is given by:…

A: Consider the equation:

Q: A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic…

A:

Q: To model mortality in a population of 200 laboratory rats, a scientist assumes that the number P(t)…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: On integrating, we get

Q: A 400 - V, 10 h.p (metric), 3 - phase synchronous armature resistance and a synchronous reactance of…

A: Solution...

Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: Determine whether if the equation is separable. If so, solve the initial value problem. (sec t)…

A:

Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – D + 3)(x In…

A:

Q: A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a…

A: If weight of mass m is attached to a spring with spring constant k and damping constant β then by…

Q: The differential equation for cooling of a cup of coffee is given by dT dt = -(T – Tenu)/T where T…

A: final answer is  T = 200 C at t =5 minutes detailed solution with explanation is given below

Q: Solve the initial-value problem for x as a function of t . dx (2t3 – 2t? + t – 1) - 3, г (2) — 0 dt

A:

Q: When sugar is dissolved in water, the amount A that re- mains undissolved after t minutes satisfies…

A:

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: Given: yt=c1et+c2e2t-3tet+cost-e-t2          ...... (1) Solution: Differentiate equation (1) with…

Q: Solve the initial value problem by using integration. g' (x) = , 9 (1) = 4 x+1 %3D

A:

Q: According to the Ideal Gas Law, the pressure P, temperature T, and volume V of a confined gas are…

A: We have to use differentials to approximate the percentage change in pressure if the temperature of…

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (D² –…

A:

Q: *-({ 3*+(tans

A:

Q: A 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having…

A:

Q: Solve the initial value problem given by y' = sec(y),  y(0) = π/6 What is the interval of…

A: The interval of definition is, [ - 3/2, 1/2 ] The detailed solution is as follows below:

Q: - ydx + (x ++xy )dy= 0

A:

Q: dx 10х — х2, x(0) dt

A:

Q: Use Newton's method with the specific initial value z = -1 to approximate the root of the equation…

A:

Q: Determine whether the equation (ye™y . 1 - =)dx + (xe®Y + y2 is exact. If so, solve the initial…

A:

Q: which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5…

A:

Q: Solve the initial-value problem for y as a function of z. (64 – ) = 1, y(0) = 2 dy da

A:

Q: ev dy Solve the initial value problem given by y(1) = 2. %3D dx y

A: Differential equation: A differential equation is an equation which involves one or more derivatives…

Q: The population of a particular type of fish in a lake would grow logistically according to the…

A: The population of lake is given by, dydt=0.03y1−y2800 and y0=1320 To determine the number of fish…

Q: A cylindrical tank holds 22 liters of water. At time t = 0, two taps are opened simultaneously, the…

A: Please check step 2 for the solution.

Q: Solve the initial-value problem for y as a function of x. (25−x^2)dy/dx=1, y(0)=9 y=?

A:

Q: Solve the initial-value problem for y as a function of x. (x^2+36)dy/dx=1,y(6)=0

A: