Continuity and Differentiability
If y=(tan−1x)2, show that (x2+1)2y2+2x(x2+1)y1=2
In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?
y=x2+cosxFind a particular solution satisfying the given condition for the following differential equation.
dxdy+ytanx=2x+x2tanx, given that y=1 when x=0.