1,279 Answered Questions for the topic differential equations

Differential Equations

11/04/17

Need help solving the differential equation y’-y=x

Can you help me understand the steps in solving this equation? Will you always use e^() in these types of equations? 
Differential Equations U Substitution

11/03/17

Find u substitute in y’-(y/x)=y^2

I am having trouble identifying where to start to find the U subsitute. 

11/01/17

Differential Equations: Nonhomogeneous Equation Problem

The nonhomogeneous equation t^2y′′−2y=29t^2−1, t>0, has homogeneous solutions y1(t)=t^2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms... more
Differential Equations Math Help Initial Values

10/26/17

Differential Equations - Fundamental Set of Solutions

Find the fundamental set of solutions for the given differential equation L[y]=y′′−9y′+20y=0 and initial point t0=0 that also specifies y1(t0)=1, y′1(t0)=0, y2(t0)=0 and y′2(t0)=1.

Separable Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation:(1/4)sin(4y)=(1/2)cos(2x)+C then I plug in the initial... more

10/11/17

Ordinary Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4   I solve to get the general equation: y=[arcsin(2cos(2x)+C)]/4 but when I plug in the... more
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
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 = ?
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
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.
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
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 = ?
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 = ?
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 = ?
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
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
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.
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.
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
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
Differential Equations Calculus 1

05/23/17

What's the general solution for this differential equation?

Dy/DX+3/x y=2x+5
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

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
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?
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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