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How did he get the second equation (i.e what is the integration method for function f(x,y,y')). please help me with the solution step by

How did he get the second equation (i.e what is the integration method for function f(x,y,y')). please help me with the solution step by step. y(x) dxdx = * (x,y,y) dxdx y(x)-y(x)-hy'(x) = f(x - x)f(x, y, y') dx. x S = X-Xitl h Jy'(x) dxdx = f(x,y,y) dxdx 44 y(x)- y(x)-hy' (x) = (x-x)f(x, y,y) dx. (9) We substitute the f (x.yy') in (9) with the same interpolation polynomial. Taking x - x = -s h and replacing dx = h ds in equation (9) yields n+1

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