हिंदी

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

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
Advertisements

उत्तर

y – x = c

shaalaa.com
  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:

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


Form the differential equation of family of lines having intercepts a and b on the co-ordinate ares respectively.


Find the differential equation of all circles having radius 9 and centre at point (h, k).


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

xy = log y +c; `"dy"/"dx" = "y"^2/(1 - "xy")`


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`


Solve the following differential equation:

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


Solve the following differential equation:

`log  ("dy"/"dx") = 2"x" + 3"y"`


Solve the following differential equation:

cos x . cos y dy − sin x . sin y dx = 0


Solve the following differential equation:

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


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

3ex tan y dx + (1 + ex) sec2 y dy = 0, when x = 0, y = π.


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

`(e^y + 1) cos x + e^y sin x. dy/dx = 0,  "when" x = pi/6,` y = 0


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

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


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:

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


Solve the following differential equation:

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


Choose the correct option from the given alternatives:

x2 + y2 = a2 is a solution of


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


The integrating factor of linear differential equation `x dy/dx + 2y = x^2 log x` is ______.


Choose the correct option from the given alternatives:

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


The particular solution of `dy/dx = xe^(y - x)`, when x = y = 0 is ______.


Choose the correct option from the given alternatives:

`"x"^2/"a"^2 - "y"^2/"b"^2 = 1` is a solution of


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`


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

`"x"^2 = "2y"^2 log "y",  "x"^2 + "y"^2 = "xy" "dx"/"dy"`


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

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


Solve the following differential equation:

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


Find the particular solution of the following differential equation:

`"dy"/"dx" - 3"y" cot "x" = sin "2x"`, when `"y"(pi/2) = 2`


Find the particular solution of the following differential equation:

y(1 + log x) = (log xx) `"dy"/"dx"`, when y(e) = e2


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


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


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


Find the differential equation of the family of parabolas with vertex at (0, –1) and having axis along the y-axis


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


If `x^2 y^2 = sin^-1 sqrt(x^2 + y^2) + cos^-1 sqrt(x^2 + y^2)`, then `"dy"/"dx"` = ?


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


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


Solve the following differential equation:

`xsin(y/x)dy = [ysin(y/x) - x]dx`


The differential equation of all parabolas having vertex at the origin and axis along positive Y-axis is ______.


Solve the differential equation

cos2(x – 2y) = `1 - 2dy/dx`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×