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प्रश्न
The number of arbitrary constants in the particular solution of a differential equation of third order is
पर्याय
3
2
1
0
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उत्तर
0
The number of arbitrary constants in the particular solution of a differential equation is always zero.
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संबंधित प्रश्न
The solution of the differential equation dy/dx = sec x – y tan x is:
(A) y sec x = tan x + c
(B) y sec x + tan x = c
(C) sec x = y tan x + c
(D) sec x + y tan x = c
Solve : 3ex tanydx + (1 +ex) sec2 ydy = 0
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Solve the differential equation `dy/dx=(y+sqrt(x^2+y^2))/x`
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The solution of the differential equation \[\frac{dy}{dx} = \frac{y}{x} + \frac{\phi\left( \frac{y}{x} \right)}{\phi'\left( \frac{y}{x} \right)}\] is
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(x + y − 1) dy = (x + y) dx
\[\frac{dy}{dx} - y \cot x = cosec\ x\]
(1 + y + x2 y) dx + (x + x3) dy = 0
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For the following differential equation, find the general solution:- \[\frac{dy}{dx} = \sqrt{4 - y^2}, - 2 < y < 2\]
Solve the following differential equation:-
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Solve the following differential equation:-
\[x\frac{dy}{dx} + 2y = x^2 \log x\]
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Find the equation of a curve passing through the point (0, 0) and whose differential equation is \[\frac{dy}{dx} = e^x \sin x.\]
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The number of arbitrary constants in the general solution of a differential equation of order three is ______.
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Polio drops are delivered to 50 K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2nd week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation `"dy"/"dx" = "k"(50 - "y")` where x denotes the number of weeks and y the number of children who have been given the drops.
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