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For problems 1-19, find the general solution of the given dif- ferential equation. when initial conditions are given, find the solution that satisfies the stated conditions. 1. y" = 0 6. y" - y' ā 2y = 0 2. y" - y'=0 7. y" + 2y' + y = 0 3. y" ā 9y = 0 8. 4y" ā 4y' + y = 0 4. 4y" - y = 0 9. 2y" ā 3y' + y = 0 5. y" ā 3y' + 2y = 0 10. y" ā 6y' + 9y = 0 11. y" ā 8y' + 16y = 0 12. y" ā 25y = 0, y(0) = 0 y'(0) = 0 13. y" + y' ā 2y = 0 y(0) = 1 y'(0) = 0 14. y" + 2y' + y = 0 y(0) = 0 y'(0) = 1
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For problems 1-19, find the general solution of the given dif- ferential equation. when initial cond...
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