Solution: Find the differential equation whose general solution is y = C_1 x + C_2 e^x

Find the differential equation whose general solution is y = C_1 x + C_2 e^x. How to find the differential equation given the general solution?

Find the differential equation whose general solution is y = C_1 x + C_2 e^x

Problem Statement: ECE Board November 1994

Find the differential equation whose general solution is y = C1x + C2ex.

  • A. (x – 1) y” – xy’ + y = 0
  • B. (x + 1) y” – xy + y = 0
  • C. (x – 1) y” + xy’ + y = 0
  • D. (x + 1) y” + xy’ + y = 0

Problem Answer:

The differential equation is (x – 1) y” – xy’ + y = 0

Solution:

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