Solution of Initial Value Problem

  • Thread starter DrunkApple
  • Start date
  • #1
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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[itex]^{\int4tdt}[/itex]
= e[itex]^{\int p(t)}[/itex]
= e[itex]^{\int4tdt}[/itex]
= e[itex]^{2t^{2}}[/itex]

is this all I need? because i did
[itex]\frac{d}{dt}[/itex](y * μ(t)) = p(t) * g(t)
and the professor made a big red X mark on it, so I am confused.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi DrunkApple! :smile:
p(t) = 4t
g(t) = 4t

[itex]\frac{d}{dt}[/itex](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:
 
  • #3
111
0
wow...
can't believe i made that mistake...
thank you super hero tim-tim
 

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