+ -/2 points Find the general solution to ty' + (4t+1)y = t y(t) = All solutions have the same limit as t approaches co.
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Its math 307 class and about differential equation and I dont know how to do these two could anyone help me ?

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-/2 points
Find the general solution to
ty' + (4t+1)y = t
y(t) =
All solutions have the same limit as t approaches co. That limit is
symbolic formatting help


+ -/2 points
My Notes
Newton's law of cooling states that the rate of change of temperature of an object in a surrounding medium is proportional to the difference of the temperature of the medium
and the temperature of the object.
Suppose a metal bar, initially at temperature 40 degrees Celsius, is placed in a room which is held at the constant temperature of 30 degrees Celsius. One minute later the bar
has cooled to 30.49787 degrees . Write the differential equation that models the temperature in the bar (in degrees Celsius) as a function of time (in minutes).
Hint: You will need to find the constant of proportionality. Start by calling the constant k and solving the initial value problem to obtain the temperature as a function of k
and t. Then use the observed temperature after one minute to solve for k.
Now write a formula for the solution T(t) with initial temperature 7(0)=40 .
T(t) =


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