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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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Solution of First Order and First Degree Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 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
अध्याय 10 Ordinary Differential Equations
Exercise 10.9 | Q 20 | पृष्ठ १७६

संबंधित प्रश्न

Solve the following differential equation:

`y"d"x + (1 + x^2)tan^-1x  "d"y`= 0


Solve the following differential equation:

`sin  ("d"y)/("d"x)` = a, y(0) = 1


Solve the following differential equation:

`("d"y)/("d"x) = "e"^(x + y) - x^3"e"^y`


Solve the following differential equation:

x cos y dy = ex(x log x + 1) dx


Solve the following differential equation:

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


Solve the following differential equation:

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


Choose the correct alternative:

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


Solve: `("d"y)/("d"x) = "ae"^y`


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


Solve : cos x(1 + cosy) dx – sin y(1 + sinx) dy = 0


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


Find the curve whose gradient at any point P(x, y) on it is `(x - "a")/(y - "b")` and which passes through the origin


Solve the following:

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


Solve the following:

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


Choose the correct alternative:

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


Choose the correct alternative:

A homogeneous differential equation of the form `("d"y)/("d"x) = f(y/x)` can be solved by making substitution


Choose the correct alternative:

A homogeneous differential equation of the form `("d"x)/("d"y) = f(x/y)` can be solved by making substitution


Choose the correct alternative:

The solution of the differential equation `("d"y)/("d"x) = y/x + (f(y/x))/(f"'"(y/x))` is


Solve `x ("d"y)/(d"x) + 2y = x^4`


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