Solutions of Higher Differential Equations. Determine the solution of each differential equation. Kindly enclose in a box your final answer in its simplest form in the solution paper. Use four decimal places for your final answers, if applicable. Show your complete solutions. Please write clearly and legibly. Be mindful of your time. God Bless!
1. (D4 + 6D³ + 17D² + 22D +14)y = 0
when:
y(0) = 1,
y'(0) = -2,
y"(0) = 0, and
y"" (0) = 3
2. D² (D-1)y = 3e* + sinx
3. y" - 3y' - 4y = 30e4x
