Use Euler's Method to Calculate the First Three Approximations to the Given

question 39

Multiple Choice

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.
- $$\mathrm { y } ^ { \prime } = 1 + \frac { \mathrm { y } } { \mathrm { x } } , \mathrm { y } ( 2 ) = - 1 , \mathrm { dx } = 0.5$$

• A) \(y _ { 1 } = - 1.5000 , y _ { 2 } = - 0.6000 , y _ { 3 } = 0.0667\)
• B) \(y _ { 1 } = - 1.1250 , y _ { 2 } = - 0.4800 , y _ { 3 } = 0.0400\)
• C) \(\mathrm { y } _ { 1 } = - 0.7500 , \mathrm { y } _ { 2 } = - 0.4000 , \mathrm { y } _ { 3 } = 0.0333\)
• D) \(y _ { 1 } = - 1.5000 , y _ { 2 } = - 0.8000 , y _ { 3 } = 0.1333\)

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Definitions:

Indirect Materials

Materials used in the production process that are not directly traceable to the finished product.

Activity-Based Costing

An accounting method that allocates costs to specific activities for more accurate product costing.

Accumulating

The process of gathering or amassing over a period of time.

Allocating

The process of apportioning costs or resources among departments, activities, or products.