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# True-or-False: Integrating factor of the differential equation of the form $\large\frac{dx}{dy}$$+P_1x=Q_1 is given by e^{\int P_1dy}. Can you answer this question? ## 1 Answer 0 votes Toolbox: • A homogeneous linear differential equation of the form \large\frac{dy}{dx}$$+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

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