1,272 Answered Questions for the topic differential equations

Differential Equations Linear Algebra Matrix Matrices

03/12/17

Confusion with differential equation applied as a matrix
http://i.imgur.com/PknZsfZ.png   I'm confused on why the first row has values 0 + yk+1 + 0 and the second row has 0 + 0 + yk+2
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Differential Equations

02/16/17

Differential Equations
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... more
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Differential Equations

02/16/17

Differential Equations
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... more
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Differential Equations

02/16/17

Differential Equations
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... more
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Differential Equations Calculus Calc High School: Math

02/06/17

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

02/01/17

Differential Equations Question
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?
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Differential Equations

02/01/17

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

01/14/17

2nd order differentlal equation with a constant term: how to solve?
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 when one term is... more
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Differential Equations

10/30/16

Help with differential equations problem!
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... more
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Differential Equations

10/12/16

solve the differential equation
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.eb. determine the values of the parameters from the initial condition
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Differential Equations

10/11/16

solve the differential equation
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.eb. determine the values of the parameters from the initial condition
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Differential Equations

10/11/16

solve the differential equation
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 initial condition  
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Differential Equations Math Help Math Question

08/13/16

Find the power series in x?
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?    
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Differential Equations

08/05/16

Differential equation- putting it into form
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 = x. How... more
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Differential Equations Mathematics

07/29/16

In ODEs how use the dx/dt equation and x(t)=x to find solutions?
So if I have dx/dt=x2/3    x ∈ real numbers     and   x(0)=0 How do I get tox(t)=0 when t≤a or x(t)=(t-a)3 when t>a as a solution   I'm confused about what the notation x(t)=? actually... more
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Differential Equations Math Help Math Question Math Problem

06/29/16

Find the power series?
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.
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Differential Equations Math Help Math Question Math Problem

06/16/16

Find the power series?
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 to infinity y'=Σnanxn-1 from n=1 to... more
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Differential Equations Math Math Help For College Calculus 2

06/10/16

Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x.
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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Differential Equations Math Help Math Question

05/10/16

Find its displacement?
A 64 lb object stretches a spring 4 ft in equilibrium. It is attached to a dashpot with damping constant c=8 lb-sec/ft. The object is initially displaced 18 inches above equilibrium and given a... more
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Differential Equations Math Help Math Question

05/02/16

Find its displacement?
A weight stretches a spring 1.5 inches in equilibrium. The weight is initially displaced 8 inches above equilibrium and given a downward velocity of 4 ft/s. Find its displacement for... more
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Differential Equations Math Help Math Question

04/30/16

Find its displacement?
An object stretches a spring 5 cm in equilibrium. It is initially displaced 10 cm above equilibrium and given an upward velocity of 0.25 m/s. Find its displacement for t>0. Find the frequency,... more
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Differential Equations Math Modeling

04/29/16

solve the difference equation x_{n+2} - 4x_{n}= n
solve the difference equation x_{n+2} - 4x_{n}= n   with initial conditions: x_{0} = 0, x_{1} = 1/3
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Differential Equations Math Help Math Question

04/25/16

Find its displacement?
A spring with natural length 0.5 m has length 50.5 cm with a mass of 2 gm suspended from it. The mass is initially displaced 1.5 cm below equilibrium and released with zero velocity. Find its... more
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Differential Equations Math Help Math Question

04/23/16

Find its displacement?
Assume that there's no damping, an object stretches a spring 4 inches in equilibrium. Find its displacement for t>0 if it's initially displaced 36 inches above equilibrium and given a downward... more
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Differential Equations Calculus Limits Implicit Differentiation

04/22/16

PROFIT FUNCTION IN CALC
I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more
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