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CSS Applied Mathematics QUESTION #1313
Question 1
For the IVP \(y'=1+y/x\), \(y(1)=2\), \(h=0.25\), Euler's first step gives \(y(1.25)\approx\):
  • \(2.75\)✔️
  • \(3.00\)
  • \(2.50\)
  • \(3.25\)
Correct Answer Explanation
\(f(1,2)=1+\dfrac{2}{1}=3\). \(y_1=y_0+h\cdot f(x_0,y_0)=2+0.25\times3=2+0.75=2.75\).