I need help with these

4. Let y(:1:) be the function that satises 5y4y' = 21 143:6 + 14335? 213,5, y(0) = 1/2. Find the value of y(3/2). [3 marks] 5. Let y(:1:) be the solution to r - '9' - y) rte we say Sing?) ysm($ a: 0, y( ) 0, arms, 2 my\" 2 Find y(2). Note that all inputs to trigonometric functions are in radians in this module. [3 marks] 6. Lawrence wants to conduct an experiment that requires 100 grams of lawrencium-Z. He rst needs to take the lawrencium from the storage. Then it takes 24 hours for the lawrencium to be transported from the storage to the laboratory where the experiment is to be conducted. Given that lawrenciumZ decays radioactively with a half-life of 10 hours, what is the minimum amount of lawrencium266 that Lawrence needs to take from the storage to meet his experiment requirements? Give your answer in grams. [3 marks]