A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. 3 x³y(³) - 3x²y" + 6xy' - 6y=0; y(1) = 9, y'(1) = 18, y''(1) = 20; 3 Y₁ = x, y₂ = x, y3 = x° The particular solution is y(x) =

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 12CR
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A third-order homogeneous linear equation and three linearly independent solutions are
given below. Find a particular solution satisfying the given initial conditions.
3
x³y(³) - 3x²y" + 6xy' - 6y=0; y(1) = 9, y'(1) = 18, y''(1) = 20;
3
Y₁ = x, y₂ = x, y3 = x°
The particular solution is y(x) =
Transcribed Image Text:A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. 3 x³y(³) - 3x²y" + 6xy' - 6y=0; y(1) = 9, y'(1) = 18, y''(1) = 20; 3 Y₁ = x, y₂ = x, y3 = x° The particular solution is y(x) =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,