Inspired by an IIT problem

Calculus Level 5

The order of the differential equation whose general solution is given by

\[ \Large y = c_1e^{c_2x + c_3} + c_4e^{-c_5x + c_6} + (c_7 - c_8)\sin(c_9x + c_{10}) \]

Details:

  • \(c_1 , c_2 , c_3 , c_4 , c_5 , c_6 , c_7 , c_8 , c_9 , c_{10} \ \text{are arbitary constants}\)
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