Solve the initial value problem, 3x²y" -9x(x + 1)y' + (7/7x+45)y = 3x7/2e4x, y(1) = ¹ +2e³-2, y'(1) = ¹ +9e³-3, given that y₁ (x) = x³/2 solves the associated homogeneous differential equation.
Solve the initial value problem, 3x²y" -9x(x + 1)y' + (7/7x+45)y = 3x7/2e4x, y(1) = ¹ +2e³-2, y'(1) = ¹ +9e³-3, given that y₁ (x) = x³/2 solves the associated homogeneous differential equation.
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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Transcribed Image Text:Solve the initial value problem,
3x²y" - 9x(x + 1)y' + (x + 4) = 3x7/2e4x
y(1) =
4+2e³-2,
y'(1) =
given that y₁ (x) = x²
4 +9e³-3,
x³/2 solves the associated homogeneous differential equation.
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