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Questions  >>  CBSE XII  >>  Math  >>  Differential Equations
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The general solution of a differential equation of the type $\large\frac{dx}{dy}$$+p_1x=Q_1\;is$

\[ \begin{array}{l} (A)\quad y\;\mathrm{e}^{\int p_1\mathrm{d}y}=\int\bigg(Q_1\mathrm{e}^{\int p_1\mathrm{d}y}\bigg)dy+C \\ (B)\quad y\;.\mathrm{e}^{\int p_1\mathrm{d}x}=\int \bigg(Q_1\mathrm{e}^{\int p_1\mathrm{d}x}\bigg)dx+C \\ (C)\quad x\;\mathrm{e}^{\int p_1\mathrm{d}y}=\int \bigg(Q_1\mathrm{e}^{\int p_1dy}\bigg)dy+C \\ (D)\quad x\;\mathrm{e}^{\int p_1dx}=\int\bigg(Q_1\mathrm{e}^{\int p_1\mathrm{d}x}\bigg)dx+C \end{array} \]

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