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(c) The solution of the initial value problem is OA. None of the given answers is correct OB. y(x) = 6 + 9 1-5x 4

(c) The solution of the initial value problem is OA. None of the given answers is correct OB. y(x) = 6 + 9 1-5x 4

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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a, b, c

(c) The solution of the initial value problem is OA. None of the given answers is correct OB. O c. OD. OE. y(x) = 6 + 9 1-5x4 y(x) = 6 + 3 e y(x) = 6 + 3 e 5x4 y(x) = 9 x
Transcribed Image Text:(c) The solution of the initial value problem is OA. None of the given answers is correct OB. O c. OD. OE. y(x) = 6 + 9 1-5x4 y(x) = 6 + 3 e y(x) = 6 + 3 e 5x4 y(x) = 9 x
Consider the initial value problem dy dx 5 = x (y-6) and y(0) = 9 (a) The general solution of the differential equation is given implicitly by OA. (y-6)² = OB. 4 5x + C OB. In (y-6) - 5x = C, where C is an arbitrary constant OC. ey-6 = C e-x³, where C is an arbitrary constant O D. O C. O D. OE. In (y-6)- = C, where C is an arbitrary constant 6 OE. None of the given answers is correct 6 (b) The solution of the differential equation is given explicitly by OA. None of the given answers is correct y(x) = 6 + Ce y(x) = 6 + * 6 where C is an arbitrary constant y(x) = C -x5, where C is an arbitrary constant 1 where C is an arbitrary constant 1 y(x) = 6 + C e 3 C-5x 5x4 9 4 where C is an arbitrary constant $ where C is an arbitrary constant
Transcribed Image Text:Consider the initial value problem dy dx 5 = x (y-6) and y(0) = 9 (a) The general solution of the differential equation is given implicitly by OA. (y-6)² = OB. 4 5x + C OB. In (y-6) - 5x = C, where C is an arbitrary constant OC. ey-6 = C e-x³, where C is an arbitrary constant O D. O C. O D. OE. In (y-6)- = C, where C is an arbitrary constant 6 OE. None of the given answers is correct 6 (b) The solution of the differential equation is given explicitly by OA. None of the given answers is correct y(x) = 6 + Ce y(x) = 6 + * 6 where C is an arbitrary constant y(x) = C -x5, where C is an arbitrary constant 1 where C is an arbitrary constant 1 y(x) = 6 + C e 3 C-5x 5x4 9 4 where C is an arbitrary constant $ where C is an arbitrary constant
Expert Solution
Step 1

Introduction:

The differential equation with the initial condition make up an initial-value problem. The initial condition sets the value of C, and the differential equation has a family of solutions.

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