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Engineering Maths · Q41

Numerical Methods

Engineering and GATE · Engineering Maths · question 41

Q41

The differential equation dy dx = 0.25 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?

The differential equation   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
Answer
D.
2.33

Answer: Option C

Solution

Answer: Option C
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