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Find a formula involving integrals for a particular solution of the differential equation x8y" - 3x7y" + 6xy' - 6x³y = g(x), x > 0. Hint: Verify that x, x², and x³ are solutions of the homogeneous equation. X 1 ---- хо Y(x) = Y(x) = ---269 g(s)ds $8 Y(x) = Y(x) = хо Y(x) = x X /1 X0) хо + g(s)ds 58 $9 x 1/5-5+ds x S4 x( $8 x3 + g(s)ds *-V/4-4+] g(s)ds g(s)a

Find a formula involving integrals for a particular solution of the differential equation x8y" - 3x7y" + 6xy' - 6x³y = g(x), x > 0. Hint: Verify that x, x², and x³ are solutions of the homogeneous equation. X 1 ---- хо Y(x) = Y(x) = ---269 g(s)ds $8 Y(x) = Y(x) = хо Y(x) = x X /1 X0) хо + g(s)ds 58 $9 x 1/5-5+ds x S4 x( $8 x3 + g(s)ds *-V/4-4+] g(s)ds g(s)a

Advanced Engineering Mathematics
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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i need solutions for this please, answer is option a
Correct. Find a formula involving integrals for a particular solution of the differential equation x8y!!! - 3x7y" + 6xy – 6x°y = g(x),x > 0. Hint: Verify that x, x², and x are solutions of the homogeneous equation. Y(x) Y(x) = Y(x) Y(x) = Y(x) = XO 誠 ¥ X0 x( 訓 X0 X0 8 X 58 x 9 58 |g(s)ds |g(s)ds + g(s)ds + ]&ds
Transcribed Image Text:Correct. Find a formula involving integrals for a particular solution of the differential equation x8y!!! - 3x7y" + 6xy – 6x°y = g(x),x > 0. Hint: Verify that x, x², and x are solutions of the homogeneous equation. Y(x) Y(x) = Y(x) Y(x) = Y(x) = XO 誠 ¥ X0 x( 訓 X0 X0 8 X 58 x 9 58 |g(s)ds |g(s)ds + g(s)ds + ]&ds
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