1,286 Answered Questions for the topic differential equations

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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Differential Equations

04/20/16

differential equations
a. Solve the differential equation y= 2x√1-y2 b. Explain why the initial value problem y =2x√1-y2 with y(0) = 3 does not have a solution. 
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Differential Equations Separating Variables

04/09/16

General and particular solutions for 3 differential equations
Hello, I've got some problems solving general and particular solutions of differential equations.  I hope to understand how they work, if you could help me with a detailed solution for these 3... more
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Differential Equations

04/08/16

y(1+xy)dX= xdy how do we solve this differential equation
Which method do we use and what are the steps?  
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Differential Equations Calculus

03/20/16

Find the general solution to the differential equation.
a. dy/dt = 2y-t b. dy/dt=3y+2t   Please explain and show all working. Thank you ;)
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Differential Equations Calculus Rate Of Change

03/20/16

A Salty Tank
A very large tank initially contains 15 gallons of saltwater containing 6 pounds of salt. Saltwater containing 1 pound of salt per gallon is pumped into the top of the tank at a rate of 2 gallons... more
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Differential Equations Math Help Math Problem

03/18/16

Find the initial guess for this?
Find the initial guess for y"+y=xe^(x).   And show your work.
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Differential Equations Math Help Math Problem

03/18/16

What's the initial guess for y"-6y'+10y=-e^(3x)(6cosx+4sinx)?
Find the initial guess for y"-6y'+10y=-e^(3x)(6cosx+4sinx).
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Differential Equations Math Question

03/12/16

Find a particular solution of?
Find a particular solution of y"-2y'+2y=e^(x)[(2-2x-6x^2)cosx+(2-10x+6x^2)sinx].   How to find the correct initial guess for this problem?
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Differential Equations

03/10/16

Find a particular solution of?
Find a particular solution of y"-2y'+y=-e^(x)[(3+4x-x^2)cosx+(3-4x-x^2)sinx].   I need to do this problem by the method of undetermined coefficients. What's the correct initial guess for this... more
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Differential Equations Calculus

03/07/16

Differential Equations. Single Operator.
Write as a single operator action on y (D+cotx)(D-cotx)y     The answer is : (D^(2) +1)y   Just need steps to get there. 
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Differential Equations

03/04/16

I want solution of these question
Find the product solution of  d2u/dx2 = 4 du/dy 
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Differential Equations

02/11/16

Use the substitution z=w/t to find an explicit solution to the IVP: dw/dt = (6w^4 + t^4) / (4w^3 t) , w(1)=2
I really need help on answering this. Thank you so much!   Use the substitution z=w/t to find an explicit solution to the IVP: dw/dt = (6w^4 + t^4) / (4w^3 t) , w(1)=2
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