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The General Solution of a Differential Equation of the Type `Dx/Dy + P_1 X = Q` is - Mathematics

The general solution of a differential equation of the type  `dx/dy + P_1 x = Q` is

(A) `y e^(intP_1 dy) = int(Q_1 e^(intP_1 dy)) dy + C`

(B) `y . e^(intP_1 dx) = int(Q_1 e^(intP_1 dx)) dx + C`

(C) `x e^(intP_1 dy) = int(Q_1 e^(intP_1 dy)) dy + C`

(D) `xe^(intP_1 dx) = int(Q_1 e^(intP_1 dx)) dx + C`

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Solution

Hence, the correct answer is C.

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 17 | Page 421
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