The general solution of the differential equation is

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years (e^0.5 = 1.648).

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?

In each of the question, show that the given differential equation is homogeneous and solve each of them.

(x² + xy)dy = (x² + y²)dx

In each of the question, show that the given differential equation is homogeneous and solve each of them.