Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y''' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! + - 96 x2 - 1536 -384 (A) y(x) 0! + +... | 1! 2! 3! 4! 6 y(x) -3 x! -3 x2 + + 2! 4 x* + 4! B x3 + - ... O! 1! 3! 6 y(x) = O! 18 x! -65 x2 + - 260 x3 + 3! 1040 x4 ... 1! 2! 4! 6. y(x) O! - 73 r2 - 292 x3 + 3! 22 - 1168 D 1! 2! 4! 6 412 x + 1648 x* + 4! -24 (E y(x) = O! x' + 2! 103 x2 + ... 3! 6 - 17 75 300 x + 1200 (F) y(x) x + r2 +... | O! 1! 2! 3! 4! it
Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y''' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! + - 96 x2 - 1536 -384 (A) y(x) 0! + +... | 1! 2! 3! 4! 6 y(x) -3 x! -3 x2 + + 2! 4 x* + 4! B x3 + - ... O! 1! 3! 6 y(x) = O! 18 x! -65 x2 + - 260 x3 + 3! 1040 x4 ... 1! 2! 4! 6. y(x) O! - 73 r2 - 292 x3 + 3! 22 - 1168 D 1! 2! 4! 6 412 x + 1648 x* + 4! -24 (E y(x) = O! x' + 2! 103 x2 + ... 3! 6 - 17 75 300 x + 1200 (F) y(x) x + r2 +... | O! 1! 2! 3! 4! it
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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
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