Homework Statement
A particle of mass m(naught) moves throught the lab at .6c. Suddenly it explodes into two fragments. Fragment 1 has mass .66m(naught) and moves at .8c in the same direction as the original particle had been moving. Determine the velocity (magnitude and direction) and mass of...
Using the integrating factor is given by the form:
dy/dx + A(x)y = B(x)
INT Factor = e^(A(x) dx)
so A(x) = (-1-x^2)
INt Factor is given by: e^(INTEGRAL (-1-x^2 dx)
INT Factor = e^(-x^3/3 - x)
Does that make sense?
I was given the following ODE to solve and it seemed simple enough. However, after you have used the integrating factor the integral is not integratable.
y' = (1+x^2)y +x^3, y(0)=0
Find y(1) if y(x) is the solution to the above ODE.
So I put it in the proper form of:
y' + (-1-x^2)y...