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PAGE: 617SET: ExercisesPROBLEM: 20
Please look in your text book for this problem Statement

Draw the graph using Euler approximations.

Eulers approximation : proceed through a short distance( depending on the step size) along this tangent line and then making a midcourse correction by changing direction as indicated by the direction field.

Draw a Eulers approximation using step size :

Draw a tangent line at the initial point upto unit and then at every interval of unit, flow the direction field.

Draw a Eulers approximation using step size :

Draw a tangent line at the initial point upto unit and then at every interval of unit, flow the direction field.

Observe the graph :

At the step size the slope curve is above the solution curve.

At the step size the slope curve is above solution curve.

Therefore, the Euler estimate is overestimate.

The Euler estimate is overestimate.



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