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Explain solution for  RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 53 maths textbook solution.

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Answer : (c) x e^{\int P_{1} d y}=\int\left\{Q_{1} e^{\int P_{1} d y}\right\} d y+C

Hint : The equation is linear in x

Given : \frac{d x}{d y}+P_{1} x=Q_{1}

Explanation : The equation is linear in x

I F=e^{\int P_{1} d y}

So, the general solution is

x e^{\int P_{1} d y}=\int\left\{Q_{1} e^{\int P_{1} d y}\right\} d y+C

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