In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. dy -3t e dt 25. x-3xy = 1; y = dx %3D
In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. dy -3t e dt 25. x-3xy = 1; y = dx %3D
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 14CR
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![d°y
24. х3.
+ 2r2
--+y= 12x²;
dr3
dx?
dx
y = cxl + c2x + c3x In x+ 4x2
Dise
In Problems 25-28 use (12) to verify that the indicated function is
a solution of the given differential equation. Assume an appropriate
interval I of definition of each solution.
43.
44.
dy
25. x
- 3xy = 1; y = e3x
e-3t
dt
dx
45.
dy
26. 2х — - у 3D 2х сos x;
dx
y = Vx
Vi
* cos t
dt
dy
+ xy = 10 sin x; y=-+
dx
5
10
27. x
sin t
dt
X J1
46.
dy
28.+20y 1; y e+ dt
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea637577-1ffe-442f-b6db-b39ae044dbff%2F92f144f7-095a-4e28-8385-156007109733%2F9b2mg44x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d°y
24. х3.
+ 2r2
--+y= 12x²;
dr3
dx?
dx
y = cxl + c2x + c3x In x+ 4x2
Dise
In Problems 25-28 use (12) to verify that the indicated function is
a solution of the given differential equation. Assume an appropriate
interval I of definition of each solution.
43.
44.
dy
25. x
- 3xy = 1; y = e3x
e-3t
dt
dx
45.
dy
26. 2х — - у 3D 2х сos x;
dx
y = Vx
Vi
* cos t
dt
dy
+ xy = 10 sin x; y=-+
dx
5
10
27. x
sin t
dt
X J1
46.
dy
28.+20y 1; y e+ dt
%3D
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