List of top Mathematics Questions on Differential equations asked in JKCET

A function $ f(x) $ is a differentiable for all $ x \in [1,2] $ such that $ |f'(x) | < 2 $ . Which of the following options can be true ?

For $ 'c' $ is the arbitrary constant, the solution of the differential equation $ (x^2 + 2y^2)dx - xy\,dy= 0 $ is

When $ y = vx $ , $ y $ and $ x $ are variables, the differential equation $ \frac{dy}{dx}=\frac{2xy}{x^{2}-y^{2}} $ reduces to

The integrating factor of the differential equation $ \left(1+x^{2}\right)\frac{dy}{dx}+xy=cos\,x $ is equal to

At present, a firm manufactures 1099 items. It is estimated that the rate of change of production P with respect to additional number of workers x is given by $ \frac{dP}{dx}=100-12\sqrt{x}. $ . If the firm empower 25 more workers, then the new level of production of items is

Solve $ \frac{dy}{dx}+\frac{y}{x}={{x}^{3}} $