MATH 2552 Final: MATH 2552 GT PracticeFinal
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Page 2 of 12 (3) for the non-homogeneous equation y + 2y + y = t3e t, determine a suitable form for the particular solution if the method of underdetermined coe cients is to be used. Do not solve for the coe cients. (4) transform the following 4th order linear equation into a system of rst order equations y(4) ty + y = sin t. Consider the di erential equation (1 + xy3) + cx2y2 dy dx. = 0. (1) in order for the equation above to be exact, what should c be? (2) solve the equation with the c found in (1). Find the general solution of x dy dx. Question 4. (1) show that x1 = t neous system. 4# form a fundamental set of solutions for the homoge- You need to check that x1 and x2 are solutions, and they are linearly independent.
