+ -/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 ? src="/qa/attachment/10751822/" alt="762df2eaf0a81e3642b0724120567fd.png" /> Attachment 1 Attachment 2 Attachment 3 ATTACHMENT PREVIEW Download attachment 368a399d404aa375e49a02d05587715.png 4. + -/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 ATTACHMENT PREVIEW Download attachment 762df2eaf0a81e3642b0724120567fd.png 1. + -/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. dT dt Now write a formula for the solution T(t) with initial temperature 7(0)=40 . T(t) = ATTACHMENT PREVIEW Download attachment ce4725bc842daeaa615049ea25e1b1c.png

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