Advertisements
Advertisements
प्रश्न
Choose the correct alternative.
Bacteria increases at the rate proportional to the number present. If the original number M doubles in 3 hours, then the number of bacteria will be 4M in
विकल्प
4 hours
6 hours
8 hours
10 hours
Advertisements
उत्तर
Bacteria increases at the rate proportional to the number present. If the original number M doubles in 3 hours, then the number of bacteria will be 4M in 6 hours
APPEARS IN
संबंधित प्रश्न
Find the differential equation of all the parabolas with latus rectum '4a' and whose axes are parallel to x-axis.
(y + xy) dx + (x − xy2) dy = 0
dy + (x + 1) (y + 1) dx = 0
Find the particular solution of edy/dx = x + 1, given that y = 3, when x = 0.
x2 dy + y (x + y) dx = 0
3x2 dy = (3xy + y2) dx
(x + 2y) dx − (2x − y) dy = 0
Show that the equation of the curve whose slope at any point is equal to y + 2x and which passes through the origin is y + 2 (x + 1) = 2e2x.
Show that all curves for which the slope at any point (x, y) on it is \[\frac{x^2 + y^2}{2xy}\] are rectangular hyperbola.
The solution of the differential equation \[\frac{dy}{dx} = \frac{ax + g}{by + f}\] represents a circle when
What is integrating factor of \[\frac{dy}{dx}\] + y sec x = tan x?
Verify that the function y = e−3x is a solution of the differential equation \[\frac{d^2 y}{d x^2} + \frac{dy}{dx} - 6y = 0.\]
In the following verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:-
y = ex + 1 y'' − y' = 0
In the following verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:-
`y=sqrt(a^2-x^2)` `x+y(dy/dx)=0`
Solve the differential equation:
`"x"("dy")/("dx")+"y"=3"x"^2-2`
The solution of `dy/ dx` = 1 is ______.
State whether the following is True or False:
The degree of a differential equation is the power of the highest ordered derivative when all the derivatives are made free from negative and/or fractional indices if any.
Solve: `("d"y)/("d"x) + 2/xy` = x2
Solve the following differential equation y2dx + (xy + x2) dy = 0
Choose the correct alternative:
General solution of `y - x ("d"y)/("d"x)` = 0 is
Solve the following differential equation `("d"y)/("d"x)` = x2y + y
Solve the differential equation
`x + y dy/dx` = x2 + y2
