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Choose the correct option from the given alternatives: The differential equation of y = ccxc2+cx is - Mathematics and Statistics

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प्रश्न

Choose the correct option from the given alternatives:

The differential equation of y = `"c"^2 + "c"/"x"` is

पर्याय

  • `"x"^4 ("dy"/"dx")^2 - "x" "dy"/"dx" = "y"`

  • `("d"^2"y")/"dx"^2 + "x" "dy"/"dx" + "y" = 0`

  • `"x"^3 ("dy"/"dx")^2 + "x" "dy"/"dx" = "y"`

  • `("d"^2"y")/"dx"^2 + "dy"/"dx" - "y" = 0`

MCQ
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उत्तर

`"x"^4 ("dy"/"dx")^2 - "x" "dy"/"dx" = "y"`

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Formation of Differential Equations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Differential Equations - Miscellaneous exercise 1 [पृष्ठ २१४]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 6 Differential Equations
Miscellaneous exercise 1 | Q 1.02 | पृष्ठ २१४

संबंधित प्रश्‍न

Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = Ae5x + Be-5x 


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(y - a)2 = 4(x - b)


Obtain the differential equation by eliminating the arbitrary constants from the following equation:

y = a + `"a"/"x"`


Find the differential equation all parabolas having a length of latus rectum 4a and axis is parallel to the axis.


Find the differential equation of the ellipse whose major axis is twice its minor axis.


Form the differential equation of all parabolas whose axis is the X-axis.


In the following example verify that the given expression is a solution of the corresponding differential equation:

y = `(sin^-1 "x")^2 + "c"; (1 - "x"^2) ("d"^2"y")/"dx"^2 - "x" "dy"/"dx" = 2`


In the following example verify that the given expression is a solution of the corresponding differential equation:

y = e-x + Ax + B; `"e"^"x" ("d"^2"y")/"dx"^2 = 1`


In the following example verify that the given expression is a solution of the corresponding differential equation:

y = xm; `"x"^2 ("d"^2"y")/"dx"^2 - "mx" "dy"/"dx" + "my" = 0`


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`"sec"^2 "x" * "tan y"  "dx" + "sec"^2 "y" * "tan x"  "dy" = 0` 


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`"dy"/"dx" = - "k",` where k is a constant.


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`(cos^2y)/x dy + (cos^2x)/y dx` = 0


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`2"e"^("x + 2y") "dx" - 3"dy" = 0`


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`"x + y""dy"/"dx" = sec("x"^2 + "y"^2)`


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(2x - 2y + 3)dx - (x - y + 1)dy = 0, when x = 0, y = 1.


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`"x"^2 + "y"^2 = "r"^2; "x" "dy"/"dx" + "r" sqrt(1 + ("dy"/"dx")^2) = "y"`


In the following example verify that the given function is a solution of the differential equation.

`"y" = "e"^"ax" sin "bx"; ("d"^2"y")/"dx"^2 - 2"a" "dy"/"dx" + ("a"^2 + "b"^2)"y" = 0`


In the following example verify that the given function is a solution of the differential equation.

`"xy" = "ae"^"x" + "be"^-"x" + "x"^2; "x" ("d"^2"y")/"dx"^2 + 2 "dy"/"dx" + "x"^2 = "xy" + 2`


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(y - a)2 = b(x + 4)


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y = `"Ae"^(3"x" + 1) + "Be"^(- 3"x" + 1)`


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x dy = (x + y + 1) dx


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`"dx"/"dy" + "8x" = 5"e"^(- 3"y")`


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(x + y)dy + (x - y)dx = 0; when x = 1 = y


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`2e ^(x/y) dx + (y - 2xe^(x/y)) dy = 0," When" y (0) = 1`


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Solution of the equation `x  ("d"y)/("d"x)` = y log y is


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Form the differential equation of all lines which makes intercept 3 on x-axis.


The differential equation whose solution is (x – h)2 + (y – k)2 = a2 is (where a is a constant) ______.


A particle is moving along the X-axis. Its acceleration at time t is proportional to its velocity at that time. Find the differential equation of the motion of the particle.


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