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The differential equation $$\frac{{{\text{dy}}}}{{{\text{dx}}}} = 0.25{{\text{y}}^2}$$   is to be solved using the backward (implicit) Euler's method with the boundary condition y = 1 at x = 0 and with a step size of 1. What would be the value of y at x = 1?

A. 1.33

B. 1.67

C. 2.00

D. 2.33

Answer: Option C


This Question Belongs to Engineering Maths >> Numerical Methods

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