Project ForgeEngineering Mathematics
Differential Equations
GATE 2014
Medium
The integrating factor for the differential equation dy/dx − y/(1+x) = (1+x) is
- 1/(1+x)
- B(1+x)
- Cx(1+x)
- Dx/(1+x)
Explanation
In standard form dy/dx+P(x)y=Q(x), here P(x)=−1/(1+x). Integrating factor = e^(∫P dx) = e^(−∫dx/(1+x)) = e^(−ln(1+x)) = 1/(1+x).
Source: GATE CH 2014 (2014)
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