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...

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...

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...

Use the differential equation and the given point to find f(x). dy/dx= (-48)/(3x+5)^2 Point: (-1,3)

Find the particular solution of the differential equation (x^2/(y^2-6))(dy/dx)=1/(2y) satisfying the initial condition y(1)=√7 Could someone help me understand this?

Find the solution to the differential equation dz/dt=9te5z that passes through the origin. Could someone help me understand this?

I'm finding order and degree for the Differential equation of that question but don't know how to solve it with the -ve degree of dy/dx please help me

Hello. I know to use the trial solution y(t)=ert when solving a 2nd order diff. eq. which is homogeneous. However, this only works when every term contains some form of y. What about...

The solution of differential equation ydx+xdy+x^2ydy=0 is 1.logy=cx 2.-1/xy.logy=c

A container initially contains 10L of a salt solution. Water flows into the container at a rate of 3 L/min, and the well-stirred mixture flows out at a rate of 2L/min. After 5 min the concentration...

x2y"(x)+xy'(x)-y(x)=0 x is greater than 0; subject to y(1)=1 and y'(1)=1/2 a. solve the d.e b. determine the values of the parameters from the initial condition

4x2y"(x)+8xy'(x)+y(x)=0 x is greater than 0; subject to y(1)=2 and y'(1)=1 a. solve the d.e b. determine the values of the parameters from the initial condition

4x2y"(x)+8xy'(x)+17y(x)=0 x is greater than 0; subject to y(1)=1 and y'(1)=-1/2 a. solve the d.e b. determine the values of the parameters from the ini...

particulat integral of (D2-3D +2)y= sin(ex)

Find the power series in x for the general solution of (1+2x^2)y"+7xy'+2y=0. So I got up to an+2=-an(2n+1)/(n+1). How do I find the right answer...

Okay, so I need to put xy' -2y=x^2 into the standard for for differential equations (y' +P(x)y=Q(x) ), and I rearranged it as y' -2y = x, but the book shows that it needs to be y' +(-2/x)y...

So if I have dx/dt=x2/3 x ∈ real numbers and x(0)=0 How do I get to x(t)=0 when t≤a or x(t)=(t-a)3 when t>a as a solution I'm...

Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0. Please show all your work step by step.

Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0. Here's my work: Ly=(1+x^2)y"+6xy'+6y y=Σanxn from n=0...

Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x. Please help and show your work! Thanks in advance!

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