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Posted: **Tue May 10, 2022 6:41 pm**

: In Problems 19 22 A Particular Solution And A Fundamental Solution Set Are Given For A Nonhomogeneous Equation And Its 1 (55.54 KiB) Viewed 20 times

: In Problems 19 22 A Particular Solution And A Fundamental Solution Set Are Given For A Nonhomogeneous Equation And Its 2 (16.33 KiB) Viewed 20 times

In Problems 19–22, a particular solution and a fundamental solution set are given for a nonhomogeneous equation and its corresponding homogeneous equation. (a) Find a general solution to the nonhomogeneous equation. (b) Find the solu- tion that satisfies the specified initial conditions. 19. y' + y" + 3y' – 5y = 2 + 6x – 5x2; y(0) = -1, y'(0) = 1, y"(0) = -3; : x2 {e", e cos2x, e-* sin 2x} Yp = *?;

20. xy" – y" = -2; y(1) = 2, y'(1) = -1, y"(1) = -4; yn = x? ; {1, x, x°} Yp