Solve the following differential equation. dy dx =x-1 - Vidyadip

MCQ

Solve the following differential equation. $\frac{\text{dy}}{\text{dx}}=\text{x}-1$

A
y = x² + x
B
y = x²
C
y = x² - x
D
None of the above

✓

Answer

y = x² - x

Solution:

Given, $\frac{\text{dy}}{\text{dx}}=\text{x}-1$

Integrating on both sides

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

y = x² - x + c

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