Question

solve the following differential equation:
2. dy /dx= (y – x)? ​

Answer 1

Answer:

(y-x)d will be equation

Answer 2

Answer:

$\frac{dy}{dx} = y - x \\ \\ \frac{dy}{dx} - y = - x \\ \\ i.f. = {e}^{ - x} \\ \\ solution = > \\ \\ y( {e}^{ - x} ) = {e}^{ - x} (x + 1) + c$