A building was sold for $28,000. It originally cost $160,000

  1. A building was sold for $28,000. It originally cost $160,000 and was three-fourths depreciated.
  2. The common stock of Company B was purchased for $20,000 as a long-term investment.
  3. Company A acquired the property by leasing a note payable to the seller. The terms were $120,000 with a 13% rate for seven years.
  4. New equipment was purchased for $60,000 cash.
  5. January 1, 2021: bonds were sold at their $100,000 face value.
  6. January 19: a 5% stock dividend (1,000 shares) issued. The market price was $56 per share for the $10 par value common stock on this day.
  7. Shareholders received cash dividends of $52,000.
  8. November 12: Company A repurchased 2,000 shares of common stock as treasury stock at the cost of $32,000.

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Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′