Commerce (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

Find a particular solution of the differential equation (x - y) (dx + dy) = dx - dy, given that y = -1, when x = 0. (Hint: put x - y = t)

The general solution of the differential equation `(y dx - x dy)/y = 0` is ______.

The general solution of a differential equation of the type  `dx/dy + P_1 x = Q_1` is ______.

The general solution of the differential equation e^x dy + (y e^x + 2x) dx = 0 is ______.

Using differentials, find the approximate value of the following up to 3 places of decimal

`sqrt(25.3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`sqrt(49.5)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`sqrt(0.6)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(0.009)^(1/3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(0.999)^(1/10)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(15)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(26)^(1/3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(255)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(82)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(401)^(1/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(0.0037)^(1/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(26.57)^(1/3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(81.5)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(3.968)^(3/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(32.15)^(1/5)`