हिंदी

Select and write the correct alternative from the given option for the question The solutiion of dydx+x2y2 = 0 is - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • x3 + y3 = 7

  • x2 + y2 = c

  • x3 + y3 = c

  • x + y = c

MCQ

उत्तर

x3 + y3 = 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:

Ax2 + By2 = 1


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


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

y = c1e2x + c2e5x 


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

y = e−2x (A cos x + B sin x)


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

y = `"a" + "b"/"x"; "x" ("d"^2"y")/"dx"^2 + 2 "dy"/"dx" = 0`


Solve the following differential equation:

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


Solve the following differential equation:

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


Solve the following differential equation:

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


Choose the correct option from the given alternatives:

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


Choose the correct option from the given alternatives:

x2 + y2 = a2 is a solution of


Choose the correct option from the given alternatives:

The solution of `"dy"/"dx" = ("y" + sqrt("x"^2 - "y"^2))/"x"` is


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


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.

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


Solve the following differential equation:

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


Solve the following differential equation:

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


Find the particular solution of the following differential equation:

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


Find the particular solution of the following differential equation:

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


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 ______.


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


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


Form the differential equation of all straight lines touching the circle x2 + y2 = r2


Find the differential equation corresponding to the family of curves represented by the equation y = Ae8x + Be 8x, where A and B are arbitrary constants


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


Choose the correct alternative:

The slope at any point of a curve y = f(x) is given by `("d"y)/("d"x) - 3x^2` and it passes through (-1, 1). Then the equation of the curve is


The differential equation of all lines perpendicular to the line 5x + 2y + 7 = 0 is ____________.


If m and n are respectively the order and degree of the differential equation of the family of parabolas with focus at the origin and X-axis as its axis, then mn - m + n = ______.


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


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


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×