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

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Aicharya · Accepted Answer

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

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

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