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Differential EquationsMediumNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Medium problem

A savings model treats 10%10\% annual continuous growth as the IVP A′=0.1AA' = 0.1A, estimated by Euler's method with h=1h = 1 year, so each year the balance is multiplied by 1+0.1(1)=1.11 + 0.1(1) = 1.1. What initial deposit A0A_0 is required so that the Euler-projected balance after 22 years equals $1210?