Solve the Problem $y ^ { \prime } = x ^ { 2 } y ^ { 2 } , y ( 0 ) = 1$

question 16

Multiple Choice

Solve the problem $y ^ { \prime } = x ^ { 2 } y ^ { 2 } , y ( 0 ) = 1$ numerically for $y ( 0.2 )$ using $h = 0.1$

• A) 1.0
• B) 1.001
• C) 1.01
• D) 1.02
• E) 1.002

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Definitions:

Cone-bearing Trees

Trees that produce seeds in cones, typically evergreens, such as pines and spruces, which are essential to many ecosystems.

Temperate Deciduous Forest

A type of biome characterized by four seasons, including a distinct winter, and trees that shed their leaves annually.

Taiga

A biome characterized by coniferous forests, extending across a large portion of Canada, Europe, and Asia, known for its cold climate.

Savanna

A mixed landscape of grasslands interspersed with scattered trees and shrubs, often found in tropical or subtropical regions.