Question

The population \( p(t) \) of a certain mouse species follows \[ \frac{dp}{dt} = 0.5p - 450. \] If \( p(0)=850 \), then the time at which population becomes zero is:}

• A. \( \log 9 \)
• B. \( \frac{1}{2}\log 18 \)
• C. \( \log 18 \)
• D. \( 2\log 18 \)

Hint:

For linear ODEs:  Use integrating factor. Apply initial condition at end. 

Answer 1

The Correct Option is C