1,272 Answered Questions for the topic differential equations

Differential Equations Separable Equations

10/11/17

Ordinary Differential Equations
A rocket sled having an initial speed of 191 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=−μυ^2, where v is the velocity and μ... more
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Differential Equations Math

09/04/17

Differential Equations
Find the solution of the differential equation   dy/dx*(ln(y))^2 = yx^2   which satisfies the initial condition y(1)=e^2   y = ?
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Differential Equations Math

09/03/17

Differential Equations
Find the particular solution of the differential equation:   x^2/(y^2-4)*dy/dx = 1/(2y)   satisfying the initial condition y(1)=sqrt(5) y = ? the answer must be the function of x
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Differential Equations

09/03/17

Solve the eigen value problem for real b.y'' = by; y(0) = y(pi); y'(0) = y'(pi):
This is an assignment question.
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Differential Equations Math

09/02/17

Differential Equations
Solve the following initial value problem: (t^2-16t+60)dy/dt = y   1) with y(8)=1y(8)=1. (Find yy as a function of t). 2) On what interval is the solution valid? 3) Find the limit of the... more
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Differential Equations Math

09/02/17

Differential Equations
Find the particular solution of the differential equation   dy/dx = (x-4)e^(-2y) satisfying the initial condition y(4)=ln(4)   y = ?
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Differential Equations Math

09/02/17

Differential Equations
Solve the separable differential equation  7x - 6y*sqrt(x^2+1)dy/dx = 0   Subject to the initial condition: y(0)=5 y = ?
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Differential Equations Math

09/02/17

Differential Equations Question
Solve the separable differential equation for u: du/dt = e^(4u+9t) Use the following initial condition: u(0)=4   u = ?
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Differential Equations Math Calculus Differentiation

08/21/17

Differential Equations
Differential equations are often referred to as mathematical models. Explain what the phrase“mathematical model” can mean, experiences withmathematical models, and how the mathematical use of the... more
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Differential Equations Math Differential Advanced Math

08/20/17

Differential Equations
Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created toprovide predictions about the future population of rabbits over time.   a) For what values of y is y(t)... more
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Differential Equations Math Calculus Differential

08/20/17

Differential Equations
The letter y appears in two places in the differential equation dy/dt = 0.3y. Is it appropriate tothink of both occurrences of y as function of t? Explain.
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Differential Equations

08/08/17

Hello, I am having trouble finding a valid function for g(x) to make the following statement true. f'g'=(fg)', let f(x)=e^(x^2)
Hello, I am having trouble finding a valid function for the about question. I have been using the product rule and dividing by e but cannot seem to get a correct function to fit the rule.
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Differential Equations Ode

08/04/17

solve the differential equation dy/dx = (r√(x^2+y^2) + by) / bx, for y. The hint is to let v = y/x
By letting v = y/x, transform the differential equation to adifferential equation in v and x. Find the implicit solution of the resulting separableequation. Then use the relationship y = xv to... more
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Differential Equations Calculus Logistic Equations

05/24/17

Help?? I dont understand Calculus
What logistic equation satisfies this differenatial equation and condition? dy/dt=4y1-(y/24), y(0)=14 pls explain so I can actually understand what's going on in class
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Differential Equations Calculus 1

05/23/17

What's the general solution for this differential equation?
Dy/DX+3/x y=2x+5
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Differential Equations

05/09/17

What is the solution to the boundary-value problem?
y"-2y'+ (λ+1)y=0, y(0)=0, y'(L)=0
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04/24/17

Help proving differential equation
I', really stuck on this one HW question:   I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0)equals: (d^2C/dz^2) + (Pa^2/D C(a)) = 0 using C= C(x)/C(a) and z=x/a... more
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Differential Equations

04/14/17

y^'=(-4x)/y Solve the differential equation using separation of variables.
y^'=-4x/y   How do I solve the differential equation using separation of variables?
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Differential Equations

03/30/17

Find the general solution of the differential equation (–3 + x) y ' = 8y
 how do I find the general solution of the differential equation (–3 + x) y ' = 8y
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Differential Equations

03/24/17

Differential Equations
Would someone explain these to the very end of the problem? I'm still a bit confused.   Let y be the solution of the initial value problem.y″+y=−sin(2x)y(0)=0,y′(0)=0.The maximum value of y is =... more
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Differential Equations

03/22/17

What is the particular solution to dy/dx = 3y/x, with the initial condition y(1) = -1?
Is c = -1 true?
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Differential Equations

03/15/17

Differential Equations
Find a general solution. 1. u''+7u=0   2. y''-2y'+26y=0   Solve the given initial value problem.3. y''+9y=0     Would someone mind explaining these problems?
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Differential Equations

03/15/17

Differential Equations
The auxiliary equation for the given differential equation has complex roots. Find a general solution.   1. y''+y=0   2. u''+7u=0   Solve the given initial value problem. 3.... more
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Differential Equations

03/13/17

Differential Equations
3. Solve the following differential equation:y″+9y=0; y=3, y′=3 at x=Π/3   I've never seen a situation with, "y′=3 at x=Π/3"
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Differential Equations

03/13/17

Differential Equations
Find the general solution of the differential equationy″(t)+36y(t)=0   I found the general solution to be: Asin(6t)+Bcos(6t)   For each of the following initial conditions, find a particular... more
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