Solution of Initial Value Problem

DrunkApple
Messages
110
Reaction score
0

Homework Statement


Determine the solution of the IVP y' + 4ty = 4t, y(0) = 6


Homework Equations





The Attempt at a Solution


p(t) = 4t
g(t) = 4t

μ(t) = e^{\int4tdt}
= e^{\int p(t)}
= e^{\int4tdt}
= e^{2t^{2}}

is this all I need? because i did
\frac{d}{dt}(y * μ(t)) = p(t) * g(t)
and the professor made a big red X mark on it, so I am confused.
 
Physics news on Phys.org
Hi DrunkApple! :smile:
DrunkApple said:
p(t) = 4t
g(t) = 4t

\frac{d}{dt}(y * μ(t)) = p(t) * g(t)

nooo :redface:

you're multiplying the whole equation by e2t2,

so the RHS should be e2t2 * g(t), shouldn't it? :wink:
 
wow...
can't believe i made that mistake...
thank you super hero tim-tim
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
Back
Top