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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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General solution of the differential equation of the type $\Large\frac{dy}{dx}$$+P_1x=Q_1$ is given by ______.

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  • A linear differential equation of the form $\large\frac{dy}{dx}$$+Px=Q$ has general solution as $xe^{\int pdy}=\int Q.e^{\int pdy}dy+c$
General solution of the differential equation of the type $\Large\frac{dy}{dx}$$+P_1x=Q_1$ is given by $xe^{\int p_1dy}=\int Q_1.e^{\int P_1dy}dy+c$
Clearly here y is the independent variable and x is the dependent variable.
Hence the general solution is
$xe^{\int p_1dy}=\int Q_1.e^{\int P_1dy}dy+c$
answered May 22, 2013 by meena.p
 
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