MathCastle
CalculusHardDifferential Equations

Differential Equations · Hard problem

Use Euler's method with step size h=0.1h=0.1 and three steps to approximate y(0.3)y(0.3) for dydx=y−x2\dfrac{dy}{dx}=y-x^2, y(0)=0.5y(0)=0.5. Give your answer to four decimal places.