uly 9, 2022 6:53 AM Q5: Solve the differential equation below using Green's function x²y" + xy-y=x¹ y(0) - 0, y (0) 0 Ex

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Uly 9 2022 6 53 Am Q5 Solve The Differential Equation Below Using Green S Function X Y Xy Y X Y 0 0 Y 0 0 Ex 1 (37.01 KiB) Viewed 42 times

uly 9, 2022 6:53 AM Q5: Solve the differential equation below using Green's function x²y" + xy-y=x¹ y(0) - 0, y (0) 0 Example 11: Solve the initial-value problem x'y"-2xy + 2y=x Solution: w(y(1), y(t))(0) 35 (0) m(m-1)-2m +2 m²-3m+2-0 (m-2)(m-1)=0 m-2, m-1 Ye=C₁x + ₂x² y(1)=2 G+₂=2 q=2-c y (1)-1 y(x) = c₂+2c₂x₂ +2₂=1 2-₂ +2c₂--1 ₂-3 ₁-5 ye-5x-3x² G(x, t)= y(1)=2 x(1²)-t(x²) 22 y (1)-1 Y₁(t) X-2-2²-²-2² x) - [* 6(x1)(1).de - [**(²) - (x¹) 1 de yp(x)= x(t²)-t(x²)