Home › Bihar Board Class 12 (Commerce) › Mathematics › Differential Equations › For x = x0 e^(-kt), what fraction of x0 remains …
For x = x0 e^(-kt), what fraction of x0 remains at time t = 1/k?
A1/2
B1/e²
Ck
D1/e
Answer & Solution
Correct answer: D. 1/e
At t = 1/k the exponent is -1, so x = x0 e^(-1) = x0/e.
Related questions
The thin-film equation, an exception among natural laws, is of which order?Newton's laws give a differential equation for which unknown?Which equation mixes derivatives with integrals of the unknown?An equation whose unknown is a random process is called what?A derivative depending on earlier function values gives which equation?The harmonic oscillator equation approximates which nonlinear equation for small amplitudeWhich theorem gives existence of a first-order solution?In a difference equation, the independent variable takes what kind of values?