JEE Main | 2014Differential EquationMedium
Question
Let the population of rabbits surviving at a time t be governed by the differential equation
p(t) - 200. If p(0) = 100, then p(t) equals
p(t) - 200. If p(0) = 100, then p(t) equalsOptions
A.600 - 500 et/2
B.400 - 300 e-t/2
C.400 - 300 et/2
D.300 - 200 e-t/2
Solution
p(t) - 200
2 log
= t + c
Using given condition p(t) = 400 - 300 et/2
Create a free account to view solution
View Solution FreeMore Differential Equation Questions
Let $y = y(x)$ be the solution of the differential equation :$\frac{dy}{dx} + \left( \frac{6x^{2} + \left( 3x^{2} + 2x^{...A curve passes through the point Let the slope of the curve at each point (x, y) be . Then the equation of the curve is...The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (...Number of values of m ∈ N for which y = emx is a solution of the differential equation D3y -3D2y - 4Dy +12y = 0 is...Let $y = y(x)$ be the solution of the differential equation $secx\frac{dy}{dx} - 2y = 2 + 3sinx,x \in \left( - \frac{\pi...