Find the function y = = y(x) (for x > 0) which satisfies the separable differential equation dy dx 10 + 13x xy² with the initial condition y(1) = 5. Y x > 0
Find the function y = = y(x) (for x > 0) which satisfies the separable differential equation dy dx 10 + 13x xy² with the initial condition y(1) = 5. Y x > 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Find the function y = y(x) (for x > 0) which satisfies the separable differential equation
dy
10 + 13x
xy²
dx
with the initial condition y(1) = 5.
y =
x > 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa272e5ff-1689-4416-a05c-bbe45c96669d%2Feea36254-4ab6-4bed-9217-a3d0effb5b20%2Fiwgqt48_processed.png&w=3840&q=75)
Transcribed Image Text:Find the function y = y(x) (for x > 0) which satisfies the separable differential equation
dy
10 + 13x
xy²
dx
with the initial condition y(1) = 5.
y =
x > 0
![Use Euler's method with step size 0.5 to compute the approximate y-values y(0.5) and y(1), of the
solution of the initial-value problem
y'= -2 - 4x + 4y, y(0) = 1.
y(0.5) =
y(1) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa272e5ff-1689-4416-a05c-bbe45c96669d%2Feea36254-4ab6-4bed-9217-a3d0effb5b20%2Feynkyd_processed.png&w=3840&q=75)
Transcribed Image Text:Use Euler's method with step size 0.5 to compute the approximate y-values y(0.5) and y(1), of the
solution of the initial-value problem
y'= -2 - 4x + 4y, y(0) = 1.
y(0.5) =
y(1) =
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