Inspired by an IIT problem

Calculus Level 5

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

y = c 1 e c 2 x + c 3 + c 4 e − c 5 x + c 6 + ( c 7 − c 8 ) sin ⁡ ( c 9 x + c 10 ) \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 are arbitary constants c_1 , c_2 , c_3 , c_4 , c_5 , c_6 , c_7 , c_8 , c_9 , c_{10} \ \text{are arbitary constants}
7 8 4 6 5 None of these 3 10

Akhil Bansal by Akhil Bansal , 22, India

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