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Choose the correct alternative: The number of arbitrary constantsin the generalsolutions of order n and n +1are respectively - Mathematics

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • n – 1, n

  • n, n + 1

  • n + 1, n + 2

  • n + 1, n

MCQ

उत्तर

n, n + 1

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 19 | पृष्ठ १७६

संबंधित प्रश्‍न

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:

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


Solve the following differential equation:

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


Solve the following differential equation:

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


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`


Solve the following differential equation:

`(1 + 3"e"^(y/x))"d"y + 3"e"^(y/x)(1 - y/x)"d"x` = 0, given that y = 0 when x = 1


Choose the correct alternative:

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


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


Solve: `log(("d"y)/("d"x))` = ax + by


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


Solve the following:

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


Choose the correct alternative:

The differential equation of y = mx + c is (m and c are arbitrary constants)


Choose the correct alternative:

Solution of `("d"x)/("d"y) + "P"x = 0`


Choose the correct alternative:

The solution of the differential equation `("d"y)/("d"x) + "P"y` = Q where P and Q are the function of x is


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:

Which of the following is the homogeneous differential equation?


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


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