Let the population of rabbits surviving at a time t be governed by the differential…
Mathematics · JEE Main · NTA Exams — Differential Equations
Let the population of rabbits surviving at a time t be governed by the differential equation \(\frac{d p(t)}{d t}=\frac{1}{2}\)p(t) – 200.
If p (0) = 100, then p (t) equals :
If p (0) = 100, then p (t) equals :
- 400 – 300 e–t/2
- 400 – 300 et/2
- 300–200 e–t/2
- 600–500 et/2
Answer
(B) 400 – 300 e t/2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The solution of the differential equation d y d x = y ^ (x)-y^ 2 (x) where ( x ) is a specified function is :
- If y^ -3 y^ +2 y=0 where y(0)=1, y^ (0)=0 , then the value of Y at x= 2 is :
- The solution of the differential equation (x+2 y^ 3 ) d y d x =y y(z)=1 is,
- The solution of the differential equation y_ 1 1+x+y =x+y-1 is ,
- The general solution of the differential equation y(x 2 y + e x ) dx – e x dy = 0 is
- The solution of differential equation (x^ 2 -y x^ 2 ) d y+ [y^ 2 +x^ 2 y^ 2 ) d x=0 is,
- The degree of the differential equation corresponding to the family of curves y = a (x + a) 2 , where a is an…
- If y(x) is the solution of the differential equation d y d x + ( 2 x+1 x ) y=e^ -2 x , x>0 , where y(1)= 1 2…
More Differential Equations questions · Browse all practice questions