Question

The general solution of the differential equation of the type `(dx)/(dy) + p_1y = theta_1` is

विकल्प

• `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`

Answer 1

`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`.