MathCastle
CalculusHardDifferential Equations

Differential Equations · Hard problem

The exact solution of dydx=2xy\dfrac{dy}{dx}=2xy, y(0)=1y(0)=1 is y=ex2y=e^{x^2}. Using Euler's method with step size h=0.5h=0.5 and two steps, find the absolute error between the Euler approximation of y(1)y(1) and the exact value, to two decimal places.