Could you show me how to solve these 4 different types of problems? If all 4 is too much then you can just focus on questions 3 and 4 and ill ask about the other 2 in another question. Thank you for your time.

Question 1 Let y be the solution of the separable differential equation: dv E _ 3&1\"? 3' _1+y :5 layi] _2' Then. the value of 3&2] is____ Question 2 Let y be the solution of the Bernoulli differential equation: 33: y : flame 2: 3,391.1] =1. Then. the value of yllzei] is _________ . Formulae: iiinmda = mine a: iii] The general solution of rst order linear ODE 3: +p[a:]z = 9(a) is Elam-ix = I 91:1}61' airidagr Question 3 You found a fossil at Jurong park. vou took it to the Lab and determined that it contained 1'0 it; of the original amount of Carbon- 14. The half-life of Carbon-14 is known to he EBB veers. Suppose that the age of the fossil is E. Then. the integer part of E is __ l[For example. the integer part at 1414.5] is 1414] Question 4 At tirnet = l}, a tank contains 3i] lbs of salt dissolved in 200 gallons of 1n'ater. Assume that 1water containing [3.3 lb of salt per gallon is entering the tank at a rate of 2 gallons per minute and well stirred solution is leaving the tank at the same rate. Let alt} he the amount of salt in the tank at time t. Then, the value of lim zlt} [the amount of salt in the tank after a t to: long time} is _________ _ Formula: The general solution of rst order linear ODE d . T: + rials = sir} I5 yet Mild\" = Iq[z}el lel'' eta."