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


Solve the following differential equation:

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


Solve the following differential equation:

(x2 + y2) dy = xy dx. It is given that y (1) = y(x0) = e. Find the value of x0


Choose the correct alternative:

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


Choose the correct alternative:

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


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) + "e"^x + y"e"^x = 0`


Solve the following homogeneous differential equation:

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


Solve the following homogeneous differential equation:

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


Solve the following:

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


Choose the correct alternative:

If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P = 


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"y)/("d"x) = f(y/x)` can be solved by making substitution


Form the differential equation having for its general solution y = ax2 + bx


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


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


Solve x2ydx – (x3 + y3) dy = 0


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


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