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By hand, take one Euler step to approximate y (2 + 15) if dy 4 t+ 2y, y (2) = 3. = dt Here's what it looks like. Observe that the Euler step has the correct slope at its starting point, but is not quite following the slope field elsewhere. It gives only an approximation to the solution. 3.7 3.6 3.5 3.4 y 3.3 3.2 3.1 3.0 2.00 2.02 2.04 2.06 2.08 2.10 Enter your answer as a decimal number accurate to at least 8 digits. y (2.1) z

By hand, take one Euler step to approximate y (2 + 15) if dy 4 t+ 2y, y (2) = 3. = dt Here's what it looks like. Observe that the Euler step has the correct slope at its starting point, but is not quite following the slope field elsewhere. It gives only an approximation to the solution. 3.7 3.6 3.5 3.4 y 3.3 3.2 3.1 3.0 2.00 2.02 2.04 2.06 2.08 2.10 Enter your answer as a decimal number accurate to at least 8 digits. y (2.1) z

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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By hand, take one Euler step to approximate y (2+ ) if dy zt+ 2y, y (2) = 3. dt Here's what it looks like. Observe that the Euler step has the correct slope at its starting point, but is not quite following the slope field elsewhere. It gives only an approximation to the solution. 3.7 3.6 3.5 3.4 y 3.3 3.2 3.1 3.0 2.00 2.02 2.04 2.06 2.08 2.10 t Enter your answer as a decimal number accurate to at least 8 digits. y (2.1) =
Transcribed Image Text:By hand, take one Euler step to approximate y (2+ ) if dy zt+ 2y, y (2) = 3. dt Here's what it looks like. Observe that the Euler step has the correct slope at its starting point, but is not quite following the slope field elsewhere. It gives only an approximation to the solution. 3.7 3.6 3.5 3.4 y 3.3 3.2 3.1 3.0 2.00 2.02 2.04 2.06 2.08 2.10 t Enter your answer as a decimal number accurate to at least 8 digits. y (2.1) =
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