1,279 Answered Questions for the topic differential equations
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.
02/21/15
h(x) = e^((3x^2 ) - 4x) * (log_5 (3x+7))^4 + 5
log_5 means that the base is 5.
((3x^2) - 4x) is counted as the exponent for e.
* means multiply
Differential Equations
02/04/15
complicated differential equation problem
(*The dot next to the N means N prime)
A lake is stocked with an initial population of fish N0 (at t = 0). Over time the fish
population N(t) grows according to the differential...
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Differential Equations
02/01/15
Create an equation of a function that is both differentiable and continuous at points (3,-7) and show how it is both continuous and sifferentiaable there.
Differentiability and continuity
Differential Equations
01/31/15
Find steady state solution
The governing equation: ∂Ω/∂t = (∂2Ω/∂x2)-DH(∂Ω/∂x)
Find the steady-state solution Ω(x) from the boundary conditions: Ω(0) =1,Ω(1)=0
Differential Equations
01/27/15
what is the integral of 2t/1-t^2 ?
Solve the following differential equation with the given initial condition:
(1-t^2) dy/dt = 2t, y=0 when t=0, for -1< t < 1
Differential Equations
01/26/15
write the distan(ce)traveled by the boat as a function of time is v=-18e ln(.5.5·t+C)
ignoring resistance, a sailboat starting from rest accelerates (dv/dt) at a rate proportional to the difference between the velocities of the wind and the boat.
a) the wind is blowing at 16...
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