हिंदी

Select and write the correct alternative from the given option for the question The solution of dydx = 1 is - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Select and write the correct alternative from the given option for the question

The solution of `("d"y)/("d"x)` = 1 is

विकल्प

  • x + y = c

  • xy = c

  • x2 + y2 = c

  • y – x = c

MCQ

उत्तर

y – x = c

shaalaa.com
Formation of Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.6: Differential Equations - MCQ

संबंधित प्रश्न

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

y2 = (x + c)3


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

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


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

y = c1e2x + c2e5x 


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 all circles having radius 9 and centre at point (h, k).


Solve the following differential equation:

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


Solve the following differential equation:

`"y" - "x" "dy"/"dx" = 0`


Solve the following differential equation:

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


For the following differential equation find the particular solution satisfying the given condition:

`cos("dy"/"dx") = "a", "a" ∈ "R", "y"(0) = 2`


Reduce the following differential equation to the variable separable form and hence solve:

`"dy"/"dx" = cos("x + y")`


Reduce the following differential equation to the variable separable form and hence solve:

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


Reduce the following differential equation to the variable separable form and hence solve:

`cos^2 ("x - 2y") = 1 - 2 "dy"/"dx"`


Solve the following differential equation:

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


Choose the correct option from the given alternatives:

The differential equation of all circles having their centres on the line y = 5 and touching the X-axis is


Choose the correct option from the given alternatives:

The solution of the differential equation `"dy"/"dx" = sec "x" - "y" tan "x"`


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

y = a sin (x + b)


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

y = `sqrt("a" cos (log "x") + "b" sin (log "x"))`


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

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


Form the differential equation of all parabolas which have 4b as latus rectum and whose axis is parallel to the Y-axis.


Solve the following differential equation:

`"dy"/"dx" = "x"^2"y" + "y"`


Solve the following differential equation:

y log y = (log y2 - x) `"dy"/"dx"`


Select and write the correct alternative from the given option for the question

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


The general solution of `(dy)/(dx)` = e−x is ______.


Select and write the correct alternative from the given option for the question 

The solutiion of `("d"y)/("d"x) + x^2/y^2` = 0 is


Find the differential equation of family of lines making equal intercepts on coordinate axes


Find the general solution of `("d"y)/("d"x) = (1 + y^2)/(1 + x^2)`


Form the differential equation of family of standard circle


Find the differential equation of family of all ellipse whose major axis is twice the minor axis


Find the differential equation by eliminating arbitrary constants from the relation x2 + y2 = 2ax


Find the differential equation by eliminating arbitrary constants from the relation y = (c1 + c2x)ex 


Find the differential equation from the relation x2 + 4y2 = 4b2 


The differential equation having y = (cos-1 x)2 + P (sin-1 x) + Q as its general solution, where P and Q are arbitrary constants, is 


The family of curves y = `e^("a" sin x)`, where a is an arbitrary constant, is represented by the differential equation.


Find the differential equation of the family of all non-vertical lines in a plane


Find the differential equations of the family of all the ellipses having foci on the y-axis and centre at the origin


Find the differential equation of the curve represented by xy = aex + be–x + x2


The elimination of the arbitrary constant m from the equation y = emx gives the differential equation ______.


The differential equation for all the straight lines which are at the distance of 2 units from the origin is ______.


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


The differential equation for a2y = log x + b, is ______.


If 2x = `y^(1/m) + y^(-1/m)`, then show that `(x^2 - 1) (dy/dx)^2` = m2y2


Form the differential equation whose general solution is y = a cos 2x + b sin 2x.


Find the particular solution of the differential equation `x^2 dy/dx + y^2 = xy dy/dx`, if y = 1 when x = 1.


Solve the differential equation

ex tan y dx + (1 + ex) sec2 y dy = 0


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×