Ordinary Differential Equations

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Integral of volume

Integral of volume. See attached file for full problem description.

Consider the following differential equation:

Consider the following differential equation: See attached file for full problem description.

Differential Equations

Find the general solution of the following (d^6y/dx^6) -3*(d^4y/dx^4) +3*(d^2y/dx^2) -y=0

Higher order d.e.'s

Find the general solution to the following (d^4y/dx^4) + 4(d^3y/dx^3) + 8(d^2y/dx^2) + 8(dy/dx) + 4y=0

2 Differential Questions

I need help with 1c and 2a. See attached file for full problem description.

Differential equations and their solutions encountered in the study of electric circuits and mechanical systems.

(1) An inductor L and resistance R are connected in series with a switch and a battery. Use Kirchoffs law to obtain a differential equation for the circuit. (2) A mass m is attached to the free end of a spring of natural length L and a modulus λ, the other end of the spring being fixed. The mass is displaced from its pos ...continues

Solving an inseparable diff. eq.

Consider the following very simple model of blood cholesterol levels based on the fact that cholesterol is manufactured by the body for use in the construction of cell walls and is absorbed from foods containing cholesterol: Let C(t) be the amount (in milligrams per deciliter) of cholesterol in the blood of a particular person a ...continues

Slope fields of functions

Suppose the constant function y(t) = 2 for all t is a solution of the differential equation dy = f(t,y). dt (a) What does this tell you about the function f(t,y)? (b) What does this tell you about the slope field? In other words, how much of the slope field can you sketch using this information? (c) What does this ...continues

Equilibrium points; source, sink, node

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