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  • The general solution of a differential equation of the type dx/dy + P 1 x = Q 1 is (A) (B) (C) (D)

Q17.    The general solution of a differential equation of the type \frac{dx}{dy} + P_1 x = Q_1 is 

            (A)    ye^{\int P_1 dy} = \int \left(Q_1 e^{\int P_1 dy} \right )dy +C

            (B)    ye^{\int P_1 dx} = \int \left(Q_1 e^{\int P_1 dx} \right )dx +C

            (C)    xe^{\int P_1 dy} = \int \left(Q_1 e^{\int P_1 dy} \right )dy +C

            (D)    xe^{\int P_1 dx} = \int \left(Q_1 e^{\int P_1 dx} \right )dx +C

Answers (1)

best_answer

Given equation   is
\frac{dx}{dy} + P_1 x = Q_1
and we know that the general equation of such type of differential equation is

xe^{\int p_1dy} = \int (Q_1e^{\int p_1dy})dy+ C
Therefore, the correct answer is (C)

Posted by

Gautam harsolia

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