1,286 Answered Questions for the topic differential equations
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
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...
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12/02/15
Using direct evaluation find the convolution
Using direct evaluaton the convolution of f(t)=t and g(t)= e-2t
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.
Differential Equations
10/12/15
what is the integrating factor of e^y dx + e ^x dy = 0
Supposed to find using inspection method
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...
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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.
Differential Equations
09/07/15
Ordinary differential equations ???
How do you solve this differential equation,
(x-y2 )dx + 2xy dy =0
09/02/15
How do determine the differential equation that governs this situation, and solve it?
a) On January 1 2000, the park estimated that they had 500 deer on their land. Two years later, they estimated that there were 550 deer on the land. Assume that the number of deer was changing...
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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...
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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...
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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
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.
Differential Equations
04/06/15
Laplace Tranform
I'm having trouble doing a linear laplace transform. The question is solve for ivp
y'' -2y' +2y = cos t y(0) = 1, y'(0) = 0
Singular points help
For the differential equation:2(1-x)y''-3y'+(y/x)=0What are the singular points and determine whether they are regular or irregular? Then find the roots of the indicial equationThank you to whoever...
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Differential Equations
03/21/15
Find the initial value problem
Can u help me solve this problem:
(cos y) dy/dx - sin(y) = x, where y(0)=0
Differential Equations
03/13/15
Differential equation relating the height of the water to time.
A toilet cistern was emptied and refilled and the following data obtained:t = [ 0 2 3 4 5 8 14 23 28 34 41 53 74] time in seconds h = [17.5 11 7 4 2 0.5 5 10 12 15 16 17 17.5]; height in...
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03/08/15
Find the eigenvalues and eigenfunctions for y'' - 2y' + (1 + lambda)y = 0 with y(0) = y(1) = 0,
Please could someone show me a step by step method that works for all these kind of problems.
Green's function and differential equation
By using the Green's function, solve: y''-αy =e^(-αx) with initial conditions y(0)=y'(0) = 0thank you to whoever can do this in detail for me :)
02/22/15
Find the following derivative: d/dx ((xe^x)/sin(2x))
i dont know how to deal with e and sine in the same equation.
02/22/15
Find F'(t) given F(t) = sin^-1(x) * (sqrt(sin(t)))
i dont understand this at all!! help me with this asap!!
02/22/15
Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x
csc = cosecant
confusing!!
02/21/15
Find the equation of the tangent line to the curve x^2 + xy + y^2 = 3 at the point (1,1).
the might be the most confusing question for me, in my opinion.
02/21/15
f(x) = (sin(x) - 1) * (3x + cos(x-5))
before using differentiation, do I have to FOIL the problem first? i need help.
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