An initial value problem is given below. y ' =6+3 t y y ( 0 )=1 (a) Find approximate values of the solution of the given initial value problem at t=0.1, 0.2,0.3,0.4, using Euler's method with h=0.1 Round your answers to six decimal places. y ( 0.1 )= ( y 0.2 )= y ( 0.3 )= y ( 0.4 ) = (b) Find approximate values of the solution of the given initial value problem at t=0.1, 0.2,0.3,0.4, using Euler's method with Round your answers to six decimal places. y ( 0.1 )= y ( 0.2 )= ( y 0.3 )= h=0.5 y ( 0.4 ) = (c) Find approximate values of the solution of the given initial value problem at t=0.1, 0.2,0.3,0.4, using Euler's method with h=0.025 Round your answers to six decimal places. ( y 0.1 )= y ( 0.2 )= y ( 0.3 )= y ( 0.4 ) = (d) Let (t ) y ' =6+3 t y y ( 0 )=1 . at (t ) = ( 0.1 )= ( 0.2 )= t=0.1, 0.2,0.3,0.4 Find the solution y= ( t ) of the given problem and evaluate . Round your answers to six decimal places. ( 0.3 )= ( 0.4 ) =