Problem involving diff eq'ns

A mass 5kg is attached to a spring suspended from the ceiling. When the mass comes to rest at equilibrium, the spring has been stretched 2m. The mass... Determine the motion of the mass. Decribe its motion in as much detail as possible. Please see attached.

Initial Value Problem

Solve the initial value problem... Please see attached.

Best statements about solutions

I am looking for the best statements about solutions and how is the statement supported... Please see attached.

Second order Diferential equation with Wronskian

Let y1, y2 be twice differentiable functions on an interval (a,b) whose Wronskian is nowhere zero. Show that there... Please see attached.

Initial value problem with graph condition/Laplace tranformations

For t>0, let F(t) be the Phi-periodic function which on [0,π] has the graph attached to this problem. a) Solve the IVP y"+4y=F(t) y(0)=0=y'(0) b) Graph the solution on the interval [0,3π] c) Discuss the behavoir of the solution in relation to the equation. I am looking for a solution for this problem. I need t ...continues

Initial value problem//Involving Laplace transformatins and partial fractions

a) Solve the Initial value Problem: y"+y=dπ(t)+d2π(t)+d3π(t)+......dnπ(t) ******dπ.- meaning delta sub index phi******** b) Graph the solution on the interval [0,3π] c) Discuss the behaviour of the solution in relation to the equation. I am looking for a solution for this problem. I need the ...continues

Initial value Problem involving Graph, Lapace transformations and partial fractions

Solve the Initial Value Problem where g(t) is the function graphed and it is attached to this problem. Solve the following differential equation: y"-3y'+2y=g(t) y(0)=1 y'(0)=0

Laplace transformations problem with initial value problem

Using Laplace transformations solve the Initial Value Prblem: y"-2y'+10y=1 y(0)=1 y'(0)=2 I am looking for a solution for this problem. I need the solution to be very esplicit for all three parts and explain all assumptions. For the solution please use laplace transformations and partial fractions.

Laplace transfermations

I am looking for the solution of this transformation I need a deatiled solution. Also I would like to se the original formula for the laplace tranformations needed. If f(t) is a periodic, continuous function with period T>0, show that its Laplace transform is... Please see attached.

Problem involving second order DFQ

I am looking for the solution for thsi problem. Please show all assuptions, set up, and a detail solution. I need set up, solving the eq'n and the final amount of material at any time. A certain isotope has a half-life of 5 years. A sample of the isotope has... Please see attached.