For the differential equation y"- 10/+25y r Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is List the complementary functions (the functions that make up. the complementary solution) . When you get this answer correct it will give you the format for the complementary solution that you must use below. Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' - 10y + 25y = x³ has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -8 y (0) = 6 1:07 AM
For the differential equation y"- 10/+25y r Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is List the complementary functions (the functions that make up. the complementary solution) . When you get this answer correct it will give you the format for the complementary solution that you must use below. Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' - 10y + 25y = x³ has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -8 y (0) = 6 1:07 AM
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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Question
Please answer all parts and give correct answers
Transcribed Image Text:For the differential equation y"- 10 +25y=r
Part 1: Solve the homogeneous equation
The differential operator for the homogeneous equation is
List the complementary functions (the functions that make
up.
the complementary solution)
. When you get this answer
correct it will give you the format for the complementary solution that you must use below.
Part 2: Find the particular solution
To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given
above)
Therefore the particular solution must be made up of the functions
Substituting these into the differential equation, we find the particular solution is
Part 3: Solve the non-homogeneous equation
y' – 10y + 25y = x has general solution (remember to use the format I gave you in your correct answer to the complementary functions above)
Now that we have the general solution solve the IVP
y(0) = -8
y(0) = 6
1:07 AM
4/13/2021
Chp
![Now that we have the general solution solve the IVP
y(0) = -8
y (0) = 6
Here is a graph of the solution to the IVP
1.85848\tines 18^{6}
0.5
2
-1,85848\tines 18^{6]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb816de81-d091-4434-aa0d-8a250bb5db6b%2F1ce188d1-7f23-4f6e-881f-59464dc09c6f%2Fb4ui0i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Now that we have the general solution solve the IVP
y(0) = -8
y (0) = 6
Here is a graph of the solution to the IVP
1.85848\tines 18^{6}
0.5
2
-1,85848\tines 18^{6]
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