Reference no: EM131075649
MATH 54 QUIZ 9-
1. Find a general solution to the differential equation y'' + 8y' + 16y = 0.
2. Solve the initial value problem: {y'' + 2y' + y = 0, y(0) = 1, y'(0) = -3}.
3. Find a general solution to the differential equation y''' - y''+ 2y = 0.
4. Find a general solution to the differential equation y(4) + 13y'' + 36y = 0.
5. True/False? Justify your answer. Let a(≠0), b, c, d be constants, and let y1, y2, y3 be solutions to ay''' + by'' + cy' + dy = 0 on R. If W[y1, y2](x0) = 0 for some x0 ∈ R, then W[y1, y2, y3](x0) = 0.
6. Show that {1, ln t, et, sin t} is linearly independent on (0, ∞).
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Find a general solution to the differential given equation
: MATH 54 QUIZ 9. Find a general solution to the differential equation y'' + 8y' + 16y = 0. Solve the initial value problem: {y'' + 2y' + y = 0, y(0) = 1, y'(0) = -3}. Find a general solution to the differential equation y''' - y''+ 2y = 0
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