Home › CBSE Class 12 › Mathematics › Differential Equations › The integrating factor for $dy/dx + 2y = e^x$ is:
The integrating factor for $dy/dx + 2y = e^x$ is:
A$e^{2x}$, since $\mu = e^{\int 2\, dx} = e^{2x}$ on chart
B$e^{-2x}$, the inverse of the correct factor on the chart
C$e^{x/2}$, halving instead of doubling on the chart here
D$x^2$, mistaking $P(x) = 2$ as the power on the chart
Answer & Solution
Correct answer: A. $e^{2x}$, since $\mu = e^{\int 2\, dx} = e^{2x}$ on chart
$P(x) = 2$, $\mu = e^{\int 2\, dx} = e^{2x}$.
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