1. Given the initial value problemy'= 10y,y(0) = 1,use Euler's method withh= 1/3,to estimate the value ofy(1). (Give your answer correct to at least three decimal places.)

Using separation of variables, solve the initial value problemy'= 10y,y(0) = 1.Use this solution to find the exact value ofy(1). (Give your answer correct to at least three decimal places.)