(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

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 33CR
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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
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