Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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![Find the General Solution:
y" + y' - 6y = 2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ec57636-08bb-40ad-b0ca-9d615e386c7c%2Ff8e5912d-4723-4359-91ed-c800e4fde099%2Fn1tn5i9_processed.png&w=3840&q=75)
Transcribed Image Text:Find the General Solution:
y" + y' - 6y = 2x
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The given equation is a second order linear differential equation having constant coefficients.
The general solution of given equation has to be found as the sum of general solution of its corresponding homogenous equation and a particular integral solution of its inhomogeneous equation.
First of all, we have to formulate and solve the characteristic equation
Hence,
Therefore,
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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