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Choose the correct alternative: The number of arbitrary constants in the particular solution of a differential equation of third order is

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प्रश्न

Choose the correct alternative:

The number of arbitrary constants in the particular solution of a differential equation of third order is

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उत्तर

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shaalaa.com
Solution of First Order and First Degree Differential Equations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Ordinary Differential Equations - Exercise 10.9 [पृष्ठ १७६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 10 Ordinary Differential Equations
Exercise 10.9 | Q 20 | पृष्ठ १७६

संबंधित प्रश्‍न

Solve the following differential equation:

`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`


Solve the following differential equation:

`y"d"x + (1 + x^2)tan^-1x  "d"y`= 0


Solve the following differential equation:

`("d"y)/("d"x) - xsqrt(25 - x^2)` = 0


Solve the following differential equation:

`(x^3 + y^3)"d"y - x^2 y"d"x` = 0


Solve the following differential equation:

`(y^2 - 2xy) "d"x = (x^2 - 2xy) "d"y`


Choose the correct alternative:

The solution of `("d"y)/("d"x) + "p"(x)y = 0` is


Choose the correct alternative:

The number of arbitrary constants in the general solutions of order n and n +1are respectively


Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`


Solve: `y(1 - x) - x ("d"y)/("d"x)` = 0


Solve: ydx – xdy = 0 dy


Solve: `("d"y)/("d"x) = y sin 2x`


Solve the following homogeneous differential equation:

`x ("d"y)/("d"x) = x + y`


Solve the following:

`("d"y)/(""dx) + y cos x = sin x cos x`


Solve the following:

If `("d"y)/("d"x) + 2 y tan x = sin x` and if y = 0 when x = `pi/3` express y in term of x.


Choose the correct alternative:

If y = ex + c – c3 then its differential equation is


Choose the correct alternative:

Which of the following is the homogeneous differential equation?


Solve (x2 + y2) dx + 2xy dy = 0


A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ’m’ of intervals between overhauls by the equation `"m"^2 "dC"/"dm" + 2"mC"` = 2 and c = 4 and when  = 2. Find the relationship between C and m


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