Question

Solve the following differential equation.

$\frac{dy}{dx}=x-1$.

• A. $y=x^2-x+c$
• B. $y=x^2+x+c$
• C. $y=2x^2-x+c$
• D. $y=2x^2+x+c$

Answer 1

The correct option is A

$y=x^2-x+c$

Given,

$\frac{dy}{dx}=x-1$.

Integrating on both sides

$\int \frac{dy}{dx}=\int x-1dx$

$y=x^2-x+c$