Consider the differential equation d y d t = 2 ( 1 − y ) {\displaystyle {\dfrac {dy}{dt}}=2(1-y)} with the initial condition y ( 0 ) = 2 {\displaystyle y(0)=2} . Using Euler’s method with a single step of size h = Δ t = 1 / 4 {\displaystyle h=\Delta t=1/4} , estimate the value of the solution at t = 1 / 4 {\displaystyle t=1/4} .
