1,272 Answered Questions for the topic differential equations

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
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Differential Equations Math Maths Math Help

03/25/15

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... more
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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      
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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... more
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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.
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Differential Equations Maths Math Help

03/08/15

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 :)
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Differential Equations Derivative College Differentiation

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.
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Differential Equations Calculus College Differentiation

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!!
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Differential Equations Calculus Differentiation Calculus 1

02/22/15

Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x
csc = cosecant confusing!!
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Differential Equations Curve Differentiation Tangent Lines

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.
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Differential Equations Differentiation Differentiate

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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Differential Equations Differential Differentiate

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
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Differential Equations Differentiation Differentiate

02/21/15

g(x) = (sec(ln(x))) / (tan^2(x))
 Differentiation. i need help with this problem.
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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... more
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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
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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
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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
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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... more
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Differential Equations

12/17/14

Find the radius of convergence and the interval of convergence for: S (n=1 to infinity) (2^n(x-2)^n)/(n+2)!
Find the radius of convergence and the interval of convergence for: Σ (n=1 to infinity) (2^n(x-2)^n)/(n+2)! Nothing really beyond what the question asks. I think I am supposed to find the... more
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Differential Equations

12/11/14

Find the general solution of the differential equation dy/dx = (y^4)*((x+1)/((x-2)(x^2+5))) , and any other solutions if they exist.
I have been very stuck on this problem for a few days.   I manage to separate the variables however and integrate for y but I am left with a very difficult integral for x.
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Differential Equations Stability

11/24/14

Find the stability of this differential equation
Find the stability of this differential equation and explain if it's stable or unstable   dy/dt = (1-y)(y+3)
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Differential Equations

11/20/14

find a general solution in power series y"-x^2 (y )-3xy=0
I got stuck
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Differential Equations

11/19/14

how do you solve dy/dx=-(4x+3y+15/2x+y+7)
I have tried all methods but nothing works.. Thank you in advance
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Differential Equations

11/10/14

The differential equation y'(x)+2y(x)/x=6
How do I solve the differential equation y'(x)+2y(x)/x=6, when y(x0)=y0; x0=-2 and y0=-4.
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Differential Equations Calculus 3

10/30/14

f '' (t) +f (t) = tan(2t)
How can i get this?
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