Question

The degree of the differential equation \( \int \frac{x}{(x-1)(x-2)^2} dx = a \log \left| \frac{x-1}{x-2} \right| + \frac{b}{x-2} + c \) is:

• A. \( a = -1, b = 2 \)
• B. \( a = -1, b = -2 \)
• C. \( a = 1, b = -2 \)
• D. \( a = 1, b = 2 \)

Hint:

When using partial fractions, remember to solve for unknown coefficients by equating the powers of \( x \) from both sides of the equation.

Answer 1

The Correct Option is C