MathCastle
Differential EquationsHardFirst-Order Equations

First-Order Equations · Hard problem

The particular solution of y′=x(y−1)y'=x(y-1) with y(2)=0y(2)=0 is approximated near x=2x=2 by its second-degree Taylor polynomial (using y(2)y(2), y′(2)y'(2) and y′′(2)y''(2)). Use this polynomial to estimate y(2.1)y(2.1).