The differential equation which represents the family of curves y=C_1e^ c_2x , where C_1, c_2 are arbitrary constants is

MHT CET 2025 Mathematics question

The differential equation which represents the family of curves , where , are arbitrary constants is

Answer: (C)

Take logarithms: . Differentiate: , a constant. Differentiate again: , option (C). This eliminates both

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Question ID VK-103199