In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y" - 2y + y = 2-2t - (6te* +

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In This Problem You Will Use Undetermined Coefficients To Solve The Nonhomogeneous Equation Y 2y Y 2 2t 6te 1 (39.61 KiB) Viewed 13 times

In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y" - 2y + y = 2-2t - (6te* + 2e²) with initial values y(0) = -3 and (0) = -4. A. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) 2-2r+1=0 B. Write the fundamental solutions for the associated homogeneous equation. Y₁ = ¹² Y2 te² C. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y Y' Y" D. Write the general solution. (Use c1 and c2 for c₁ and c₂). E. Plug in the initial values and solve for c₁ and c₂ to find the solution to the initial value problem. y