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Question
The general solution of the differential equation of the type `(dx)/(dy) + p_1y = theta_1` is
Options
`ye^(int p_1dy) = int (theta_1 e^(intp_1dy)) dy + c`
`ye^(int p_1dy) = int (theta_1 e^(intp_1dy)) + dx + c`
`xe^(int p_1dy) = int (theta_1 e^(intp_1dy)) dy + c`
`xe^(int p_1dy) = int (theta_1 e^(intp_1dx)) dx + c`
MCQ
Solution
`xe^(int p_1dy) = int (theta_1 e^(intp_1dy)) dy + c`
Explanation:
The linear differential equation
Where P1 and θ1 are the functions of `y`.
∴ I.F. = `e^(int p_1dy)`
Hence, the solution is `x * e^(int p_1dy) = int (theta_1 e^(intp_1dy)) dy + c`.
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