1,272 Answered Questions for the topic differential equations

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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Differential Equations

01/17/16

Verify that (x^2)y+y^2 =c is a solution of 2xydx+(x^2+y)dy=0
Differential equations question
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Differential Equations Algebra 1

12/12/15

Solution of heat equation
I have been asked to prove the below function satisfies heat equation.u(r,t)=2Uπ∑n=1∞ {(−1)^n+1}(1/r)sin(nπr)e^−n^2π^2tI have tried to equate ∂u/∂t = ∂^2u/∂x^2 however both let hand side and right... more
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Differential Equations Calculus Advanced Functions

12/02/15

Using direct evaluation find the convolution
Using direct evaluaton the convolution of f(t)=t and g(t)= e-2t
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Differential Equations Frobenius

10/13/15

How to find the solution of a differential equation
m.(d2x/dt2) + R(dx/dt) -kx=0   when m= x2 , R= x-x2 , k=1   I have no idea of what method to use to get the solution.
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Differential Equations

10/12/15

what is the integrating factor of e^y dx + e ^x dy = 0
Supposed to find using inspection method
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Differential Equations Calculus Differentiation

10/07/15

A trench is being dug by a team of labourers who removes V cubic metres of soil in t minutes, where V=10*t-(t^2)/20.
V=10*t-(t2)/20   a) State the logical domain of the function, i.e. the values of t during which soil is being removed.b) At what rate is the soil is being removed at the end of 40 minutes ?c) Are... more
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Differential Equations

09/22/15

How do I integrate an inseparable equation?
 I'm confused on this topic in my Diff Eq class.
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Differential Equations

09/07/15

Ordinary differential equations ???
How do you solve this differential equation,     (x-y2 )dx + 2xy dy =0
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Differential Equations Math Calculus Ap Calc

08/22/15

differential equation
Suppose that 120 deer are placed in a protected region. If the region can support a maximum deer population of 500, then the bounded growth model for the deer population gives us which differential... more
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Differential Equations

08/01/15

Obtaining a second order differential equation.
Supply voltage of a DC motor is given by:V(t)=Ri(t)+L (d i(t))/dt+kω(t)Here i(t) is the current through the coil, R is the resistance, L is the inductance of coils, ω(t) is the angular speed and k... more
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Differential Equations

07/13/15

2xy'' + (1-2x^2)y' - 4xy = 0
Solve by series of expansion: Put in closed form: 2xy'' + (1-2x^2)y' - 4xy = 0
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Differential Equations

07/11/15

How to solve this Differential Equation?
xy + y' = 160x
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Differential Equations

06/25/15

(x^2+y^2)dx +3xydy=0
Learning about homogeneous functions and this was the example given to practice this topic.
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