25. y²(xy'+y)(1+x4)¹/² = x
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- According to the solution in Exercise 58 of the differential equation for Newtons law of cooling, what happens to the temperature of an object after it has been in a surrounding medium with constant temperature for a long period of time? How well does this agree with reality?YOUR TURN 1 Find all solutions of the differential equation dydx=12x5+x+e5x.Find the derivative of y = x°eX. O a. y' = 3e*x2(eX + x) O b. y = 3x2(e* + 1) O c. y = e*x²(x +3) O d. y = 3×2EX + 3eX Find the derivative of y = (1 - cos 2x)“. O a. y' = (8 sin 2x)(1 - cos 2x) %3D O b. y' = (8sin 2x)(1 - cos 2x)3 O c. y= (4 sin 2x)(1- cos3 2x) O d. y' = (4sin 2x)(1 - cos 2x)3