Differential equations are often referred to as mathematical models. Explain what the phrase “mathematical model” can mean, experiences with mathematical models, and how the mathematical use...

Differential equations are often referred to as mathematical models. Explain what the phrase “mathematical model” can mean, experiences with mathematical models, and how the mathematical use...

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created to provide predictions about the future population of rabbits over time. a) For what...

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

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....

By letting v = y/x, transform the differential equation to a differential equation in v and x. Find the implicit solution of the resulting separable equation. Then use the relationship y =...

y"-2y'+ (λ+1)y=0, y(0)=0, y'(L)=0

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

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

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...

y^'=-4x/y How do I solve the differential equation using separation of variables?

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

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...

Is c = -1 true?

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...

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...

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"

Find the general solution of the differential equation y″(t)+36y(t)=0 I found the general solution to be: Asin(6t)+Bcos(6t) For each of the following initial...

Use the differential equation and the given point to find f(x). dy/dx= (-48)/(3x+5)^2 Point: (-1,3)

Find the solution to the differential equation dz/dt=9te5z that passes through the origin. Could someone help me understand this?

Find the particular solution of the differential equation (x^2/(y^2-6))(dy/dx)=1/(2y) satisfying the initial condition y(1)=√7 Could someone help me understand this?