The general solution of a differential equation of the type `(dx)/(dy)+P_1x=Q_1`is(A) `y e^(intP_1dy)=int(Q_1e^(intP_1dy))dy+C` (B) `ydote^(intP_1dx)=int(Q_1e^(intP_1dx))dx+C`(C) `x e^(intP_1dy)=int(Q_1e^(intP_1dy))dy+C` (D) `xe^(intp_1dx)=intQ_1e^(intp_1dx)dx +C`

Explanation

To solve the given linear differential equation of the form \(\frac{dx}{dy} + P_1 x = Q_1\), we will derive the general solution step by step.

### Step 1: Identify the integrating factor
The integrating factor \(I(y)\) is given by:
\[ I(y) = e^{\int P_1 \, dy} \]

...