Q119 / 160 · AP EAMCET 2024 (21 May Shift 1) · Mathematics

If $y=a^3 e^{b^2 x+c}$ is the general solution of a differential equation, where $a$ and $c$ are arbitrary constants and $b$ is a fixed constant, then the order of differential equation is

  • Correct answer
    A
    1
  • B
    2
  • C
    3
  • D
    4

Solution

$y=a^3 e^{b^2 x+c} \Rightarrow \frac{d y}{d x}=b^2 a^3 e^{b^2 x+c} \Rightarrow \frac{d y}{d x}=b^2 y$
Hence, order is 1 .

Hence, the correct answer is option: 'A'.

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