A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir containing a solution of 1 lb of Na,SO4/gal. If the solution is pumped from the reservoir at the rate of 5 gal/min and the mixed solution runs out of the mixer at the rate of 5 gal/min, how long will it take to reduce the concentration of salt in the tank to 1/2 its original value?

Q: dy dx || (2y + 3 4x + 5/ 2

A:

Q: Topic: Differential equations Question: Compute for the value of constant (C) by solving the given…

A:

Q: Sin () dy %3D XCSC

A: Given sinyxdydx-1=yx cscyx, y(1)=0 Dividing both sides by  sinyx dydx-1sinyx=yx cscyx1sinyx…

Q: find a general sulution to the differential eguatiun using variation of A parametert b)yィyニ tantee…

A: Method of Variation of Parameters: This method is quite general and applies to equations of the form…

Q: Give your own example of a first order linear differential equation and solve it. Explain the…

A:

Q: Problem 4 (Non-homogeneous Equations Redux). By now we are very procedure for solving a linear,…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Determine the nature, index and signature of 3x +5x; + 3x – 2x,x, + 2x,x, - 2x,x,

A: The quadratic form is given as 3x12+5x22+3x32-2x2x3+2x3x1-2x1x2 Firstly obtain a matrix…

Q: . Exercise 1.3 Solve 1. (x+2)²y" + (x+2)y -y=0

A:

Q: Differential equations Question: Compute for the value of constant (C) by solving the given DE using…

A: The given differential equation 2y2xdx+ydy=3ydx-xdy....(1) We will the the differential equation…

Q: Ordinary differential equations involve two independent variables and ordinary derivatives. Birini…

A: True of false

Q: ordinary differential equations numericall

A:

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

A:

Q: Draw isoclines for the differential equation y' = 1+x-y and then choose which of the following…

A: Isoclines: The lines in the xy-plane in which the slope of the function is always same whatever be…

Q: In a Mega Pet Store there were huge spider tanks.  The spider section is 4 feet deep by 30 feet wide…

A:

Q: Use the simplex method to solve the linear programming problem. z = 5x, + 2x2 +x3 4x1 +4x2 +…

A:

Q: (DIFFERENTIAL EQUATIONS) IDENTIFY THE FOLLOWING  1) A differential equation where the unknown…

A: 1) A differential equation where the unknown function depends on only one independent variable is…

Q: A man with a parachute jumps at a great height from an airplane moving horizontally. After 10…

A:

Q: Prove that Ho Ge) =(-1) e" ď e dx 2. 2.

A:

Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

A:

Q: dy/dx% 3 sec 2xsec3y

A:

Q: dy - xy y(2) =1 %3D 2. dx

A: Given the differential equation dydx=xy3

Q: 3/" + p(t)y' + q(t)y = f(t), y(to) = y0, y'(to) = vo- (1) %3D %3D • First find the general solution…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Question; y'-(2cotx)y =sinx what is the general solution of differantial equetion? Please help

A:

Q: note on Poisson differential equation, type and the application in flow

A: Fluid mechanics, heat and mass transfer, and electromagnetic theory are all modeled by partial…

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.