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CalculusSuperchallengeDifferential Equations

Differential Equations · Superchallenge problem

The IVP dydx=2xy\dfrac{dy}{dx}=\dfrac{2x}{y}, y(0)=3y(0)=3 (take y>0y>0) has an exact solution found by separating variables. Euler's method with TWO steps of size h=1h=1 also approximates y(2)y(2). Find (exact value of y(2)y(2)) −- (Euler's two-step approximation), as an exact expression.