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Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the initial conditions y(1) = -3, y' (1) = -12.

Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the initial conditions y(1) = -3, y' (1) = -12.

Calculus For The Life Sciences
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Find the particular solution of the differential equation x²y" 5xy' +9y=9x (x > 0) y'(1) = -12. satisfying the initial conditions y(1) = −3, Answer: y(x) = -x³(3+3 log x) +x6 Your answer should be a function of a.
Transcribed Image Text:Find the particular solution of the differential equation x²y" 5xy' +9y=9x (x > 0) y'(1) = -12. satisfying the initial conditions y(1) = −3, Answer: y(x) = -x³(3+3 log x) +x6 Your answer should be a function of a.
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Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the particular solution of the differential equation satisfying the initial conditions y(1) = −3, 84,3 Answer: y(x) = -x³-24x³lr x³ ln x + 9x 25 Your answer should be a function of a. 84 25 8 x Answer Preview x²y" — 5xy' + 9y = 9x (x > 0) y'(1) = -12. 3 24 5 x³ In(x) + 92.8 25 Result incorrect
Transcribed Image Text:Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the particular solution of the differential equation satisfying the initial conditions y(1) = −3, 84,3 Answer: y(x) = -x³-24x³lr x³ ln x + 9x 25 Your answer should be a function of a. 84 25 8 x Answer Preview x²y" — 5xy' + 9y = 9x (x > 0) y'(1) = -12. 3 24 5 x³ In(x) + 92.8 25 Result incorrect
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