Project ForgeEngineering Mathematics
Differential Equations
GATE 2015
Medium
For the linear ODE dy/dx+p(x)y=r(x), multiplying by its (non-zero) integrating factor converts this into a:
- AHomogeneous differential equation
- BNon-linear differential equation
- CSecond order differential equation
- Exact differential equation
Explanation
Multiplying by the integrating factor μ(x) makes d/dx[μy]=μr(x) — by construction this is an exact differential equation.
Source: GATE CH 2015 (2015)
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