Suppose that a fourth order differential equation has a solution y = - =-6e5x (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Enter the derivatives as y', y", .. (b) Find the general solution to this differential equation. help (equations) x sin(x). In your answer, use C1, C2, C3 and c4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Suppose that a fourth order differential equation has a solution y = - =-6e5x (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Enter the derivatives as y', y", .. (b) Find the general solution to this differential equation. help (equations) x sin(x). In your answer, use C1, C2, C3 and c4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Suppose that a fourth order differential equation has a solution y =
-
(b) Find the general solution to this differential equation.
help (equations)
6e5x
(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.
help (equations)
Enter the derivatives as y', y",
x sin(x).
In your answer, use C₁, C2, C3 and c4 to denote arbitrary constants and
x the independent variable. Enter c₁ as c1, c₂ as c2, etc.
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Follow-up Questions
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Follow-up Question
incorrect still
![Entered
y-20*y"+152*y"-520*y'+676*y = 0
c1*[e^(5*x)]* sin(x)+c2*[e^(5*x)]*cos(x)+c3*[e^(5*x)]*x*sin(x)+c4*
[e^(5*x)]*x*cos(x)
At least one of the answers above is NOT correct.
Answer Preview
y"" - 20y" + 152y" - 520y +676y=0
(b) Find the general solution to this differential equation.
clex sinx + c2ex cosx + c3e5xx sinx+c4e5xx cos x help (equations)
In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and
the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Suppose that a fourth order differential equation has a solution y = -6e5r sin(x).
(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.
- 20y"+152y" - 520y +676y=0 help (equations)
Enter the derivatives as y, y",...
Result
c₁e³* sin(x) + c₂e³* cos(x) + c³e³¹x sin(x)+c4e* cos(x) incorrect
correct
Message
Your answer isn't a variable equal to a formula
that returns a number
(it looks like a formula that returns a number)](https://content.bartleby.com/qna-images/question/2cd2d665-daee-46b8-ac4c-2b4cec66538a/abedfcb7-7dc5-4329-92d5-3b6cfd907d8e/6tnaz5o_processed.png)
Transcribed Image Text:Entered
y-20*y"+152*y"-520*y'+676*y = 0
c1*[e^(5*x)]* sin(x)+c2*[e^(5*x)]*cos(x)+c3*[e^(5*x)]*x*sin(x)+c4*
[e^(5*x)]*x*cos(x)
At least one of the answers above is NOT correct.
Answer Preview
y"" - 20y" + 152y" - 520y +676y=0
(b) Find the general solution to this differential equation.
clex sinx + c2ex cosx + c3e5xx sinx+c4e5xx cos x help (equations)
In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and
the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Suppose that a fourth order differential equation has a solution y = -6e5r sin(x).
(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.
- 20y"+152y" - 520y +676y=0 help (equations)
Enter the derivatives as y, y",...
Result
c₁e³* sin(x) + c₂e³* cos(x) + c³e³¹x sin(x)+c4e* cos(x) incorrect
correct
Message
Your answer isn't a variable equal to a formula
that returns a number
(it looks like a formula that returns a number)
Solution
by Bartleby ExpertFollow-up Question
i couldnt see the second one and the first one is apparantly wrong.
Transcribed Image Text:Entered
y"-20y""+152y^('')-520y'+676y=0
At least one of the answers above is NOT correct.
1 of the questions remains unanswered.
Suppose that a fourth order differential equation has a solution y = -6e5x sin(x).
(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.
y" - 20y"+152y - 520y +676y=0 help (equations)
Enter the derivatives as y', y", ...
(b) Find the general solution to this differential equation.
help (equations)
Answer Preview
In your answer, use C₁, C2, C3 and c4 to denote arbitrary constants and
the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Result
incorrect
incorrect
Message
Unexpected character ""
Solution
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