Ordinary differential equations

Problem A: Suppose that a giant HD-ready television of mass m falls from rest towards earth and its parachute opens at time t=0. when its speed is v(0)=v0 Since the TV is massive assume the drag force is proportional to the square of the velocity. Write a complete model for the velocity v(t) What is the asymptotic behavi ...continues

First order differential equation

One solution to ty"-(t+2)y'+2y=0 is exp(t) Find a second linearly independent solution.

General Solution : ODE's

Find the general solution of the ODE below: y" + 2y' + 101y = 0

Differential Equations

(Fun) 3. Find the general solution using the method of undetermined coefficients: y" - 2y' - 3y = t +e^-t (More Fun) 4. Find the general solution using the method of undetermined coefficients: y" + 4y = [sin(t)]^2 ...continues

Differential Equations

27. y'' + 25y = sin(4t), y(0) = 0, y'(0) = 0. Plot the component curves and the orbit, the latter for the rectangle |y|< 0.25 and |y'|< 1. Any surprises? 28. Hearts and Eyes: Find a solution formula for y'' + 25y = sin&(wt), where w is not equal 5. Plot the solution curve of the IVP with y(0) = y'(0), where w=4. Plot t ...continues

Initial Value Problem - Unique Solution?

Determine whether the given initial value problem has a unique solution (using Theorem 1). *Please see attachment for problem (Direct "yes/no" answer is fine)

Asymptotic Behavior of Solution

Use the phase line to predict the asymptotic (*see attachment*) behavior of the solution satisfying the specified initial condition ... *Please see attachment for complete question.

Find a Second Linearly Independent Solution

Please see the attached file for the fully formatted problems. Find a second linearly independent solution given the differential equation & non-trivial solution f.

Determine inertia, damping, and stiffness using given data

See attached file. P228#2 Using the paradigm, What are the inertia, damping, and stiffness for the equation ? If y>0, what is the sign of the ‘stiffness constant’? Does your answer help explain the runaway behavior of the solutions ?

Find Critical Point Set for the given system

Find the critical point set for the given system. *Please see attachment for system