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dy dx +1=_2 X with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (a) Euler method

dy dx +1=_2 X with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (a) Euler method

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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dy +1= 1 = - 1²/² dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (a) Euler method Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual values of (d). Show complete solutions and express answers in table form. لا
Transcribed Image Text:dy +1= 1 = - 1²/² dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (a) Euler method Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual values of (d). Show complete solutions and express answers in table form. لا
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