A particular solution and a fundamental solution set are given for the nonhomgeneous equation below and its correspondin

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A Particular Solution And A Fundamental Solution Set Are Given For The Nonhomgeneous Equation Below And Its Correspondin 1 (15.7 KiB) Viewed 11 times

A particular solution and a fundamental solution set are given for the nonhomgeneous equation below and its corresponding homogeneous equation. (a) Find a general solution to the nonhomogeneous equation. (b) Find the solution that satisfies the specified initial conditions. x³y + xy' -y-6-Inx, x>0; y(1) = 0, y'(1)=2. y''(1) = 1: Yp - In x-3: {x, x Inx, x( In x)²) I y(x) = C₁x + ₂x In |x|+C₂x In x In x+ In x-3 (b) Find the solution that satisfies the initial conditions y(1)=0, y'(1)=2, and y''(1) = 1. y(x) =