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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.