-"-12y = -72; x > 0 = -2, y'(1) = 4, y''(1) = -54; 3x²; {1, x, x6} X a general solution to the nonhomogeneous equation. ] the solution that satisfies the initial conditions y(1)= -2, y'(1) = 4, and y''(1
-"-12y = -72; x > 0 = -2, y'(1) = 4, y''(1) = -54; 3x²; {1, x, x6} X a general solution to the nonhomogeneous equation. ] the solution that satisfies the initial conditions y(1)= -2, y'(1) = 4, and y''(1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![A particular solution and a fundamental solution set are given for the nonhomogeneous equation below and its o
equation. (b) Find the solution that satisfies the specified initial conditions.
3xy'"-12y = - 72; x > 0
y(1) = -2, y'(1) = 4, y''(1) = -54;
Yp=3x²; (1, x, x6}
(a) Find a general solution to the nonhomogeneous equation.
y(x) = 0
(b) Find the solution that satisfies the initial conditions y(1)= -2, y'(1) = 4, and y''(1) = -54.
(x) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe950f04c-ec95-4708-a23e-cd91dda53609%2Fbd01594e-2ad6-4c89-a913-6986fe52bb32%2F9zjm5nr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particular solution and a fundamental solution set are given for the nonhomogeneous equation below and its o
equation. (b) Find the solution that satisfies the specified initial conditions.
3xy'"-12y = - 72; x > 0
y(1) = -2, y'(1) = 4, y''(1) = -54;
Yp=3x²; (1, x, x6}
(a) Find a general solution to the nonhomogeneous equation.
y(x) = 0
(b) Find the solution that satisfies the initial conditions y(1)= -2, y'(1) = 4, and y''(1) = -54.
(x) =
![mogeneous equation below and its corresponding homogeneous equation. (a) Find a general solution to the nonhomogeneous
and y''(1) = -54.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe950f04c-ec95-4708-a23e-cd91dda53609%2Fbd01594e-2ad6-4c89-a913-6986fe52bb32%2Fz23115r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:mogeneous equation below and its corresponding homogeneous equation. (a) Find a general solution to the nonhomogeneous
and y''(1) = -54.
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