A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 5 liters per minute. Another brine solution containing 0.05 kg of salt per liter enters...

A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 5 liters per minute. Another brine solution containing 0.05 kg of salt per liter enters...

A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the...

1. A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.09kg of salt per liter enters the tank at a rate...

3y3e3xy - 1 + (2ye3xy + 3xy2e3xy)y' = 0

dy/dx= (2cx-x^-1)/((y^-1)-2cy) the c's are constants of integration. I am trying to find a differential equation for the family of curves: ln(xy)=c(x^2+y^2) and can't figure out...

Find the solution for the following exact differential equations. 2xy^2 + 4 = 2(3 - x^2y)y' ; y(-1) = 8

y=x^(1/2)+cx I can't seem to get the right answer :(

y'=(x^2-y^2)xy, with y(1)=2

Just wondering how x^-3 + e^c = c/x^2?

I have seen it written the first way in some problems and the second in others. All have had correct answers. Can someone please explain why this is? Thank!

When I solve it with separation I get to a point where y^2=5/2(x^2+1)^(1/2)+C but then I get two solutions and then my equation gets messy when trying to solve for the constant C with the...

Find the solution of the given initial value problem in explicit form. sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation: (1/4)sin(4y)=(1/2)cos(2x)+C then...

I am being asked to evaluate the first four nonzero terms using Taylor expansion about x=0. I am told the initial value problem is y'=e^y; y(0)=1 and y'(0)=-1. I am not sure how to utilize...

Can you help me understand the steps in solving this equation? Will you always use e^() in these types of equations?

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare. Trying to find y(1) given y(x) is a solution to the equation...

I am having trouble identifying where to start to find the U subsitute.

The nonhomogeneous equation t^2y′′−2y=29t^2−1, t>0, has homogeneous solutions y1(t)=t^2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from...

dP/dt=Λ-μP+μk*exp((P^2-k^2)/k^2) express equation in dimensionless form, reducing the number of parameters to one parameter (name it a). Call x the dimensionless state variable...

Find the fundamental set of solutions for the given differential equation L[y]=y′′−9y′+20y=0 and initial point t0=0 that also specifies y1(t0)=1, y′1(t0)=0, y2(t0)=0 and y′2(t0)=1.

(1/x)(d/dx(x(dy/dx))) = 4sinh(y) : x varies from 0 to 1 Boundary Conditions :- at x = 0 : dy/dx = 0 at x = 1 : dy/dx = 4 Plot y as a function of x