A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. x°y(3) – 3x?y" + 6xy' – 6y = 0; y(1) = 1, y'(1) = 18, y'"(1) = 34; Y1 = x, Y2 = x², y3 = x³ The particular solution is y(x) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
x°y(3) - 3x²y" + 6xy' – 6y = 0; y(1) = 1, y'(1) = 18, y'"(1) = 34;
Y1 = x, Y2 = x2, y3 = x³
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. x°y(3) - 3x²y" + 6xy' – 6y = 0; y(1) = 1, y'(1) = 18, y'"(1) = 34; Y1 = x, Y2 = x2, y3 = x³ The particular solution is y(x) =
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