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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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True-or-False: Integrating factor of the differential equation of the form $\large\frac{dx}{dy}$$+P_1x=Q_1$ is given by $e^{\int P_1dy}$.

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  • A homogeneous linear differential equation of the form $\large\frac{dy}{dx}$$+Py=Q$ has an integral factor $e^{\int pdx}$
Whenever a linear differential equation is of the form $\large\frac{dx}{dy}$$+Py=Q$
Where p and Q are functions of $y$ or constants.
Here $y$ is the independent variable. and $x$ is the depentdent variable.
Hence the integrating factor is $e^{\int pdy}$
Therefore Integrating factor of the differential of the form $\large\frac{dx}{dy}$$+P_1x=Q_1$ is given by $e^{\int P_1dy}$. is $True$
answered May 22, 2013 by meena.p
 

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