Senior year as an Astrophyics major starting Aug. 24th!
1. Stellar Astrophysics
2. Electricity & Magnetism II
3. Quantum Mechanics
4. Ordinary Differential Equations ( I took this as a combined class with Linear Algebra a while ago, but I'm getting a minor in math so I have to take it...
Homework Statement
Use Maxwell's equations to derive the continuity equation.
B=Magnetic Field
E=Electric Field
ρ=Charge Density
J=Current Density
Homework Equations
Maxwell's Equations:
∇⋅E=ρ/ε0,
∇×E=-∂B/∂t
∇⋅B=0
∇×B=ε0μ0(∂E/∂t)+μ0J
Continuity Equation:
∇⋅J +∂ρ/∂t = 0
The Attempt at...
I am an astrophysics major slowly making my way through my first upper division semester. Many times in desperation I have googled problems and have often been lead to this site (which has been very useful!). I finally decided to make an account and start asking questions of my own. So thanks...
Homework Statement
A rocket through interstellar dust, no gravity. Solve for v with respect to mass.
k is a constant.
Drag = -bv
Homework Equations
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The Attempt at a Solution
To start:
It should become a separable differential equation, but I am having a lot of trouble solving it...