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State whether the following statement is True or False: A differential equation in which the dependent variable, say y, depends only on one independent variable, say x, is called as ordinary - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

A differential equation in which the dependent variable, say y, depends only on one independent variable, say x, is called as ordinary differential equation

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True

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अध्याय 1.8: Differential Equation and Applications - Q.3

संबंधित प्रश्न

For the differential equation, find the general solution:

`dy/dx + y = 1(y != 1)`


For the differential equation, find the general solution:

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`dy/dx = sin^(-1) x`


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ex tan y dx + (1 – ex) sec2 y dy = 0


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

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


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

`dy/dx` = y tan x; y = 1 when x = 0


Find the equation of a curve passing through the point (0, 0) and whose differential equation is y′ = e x sin x.


For the differential equation `xy(dy)/(dx) = (x + 2)(y + 2)`  find the solution curve passing through the point (1, –1).


Find the equation of a curve passing through the point (0, -2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point.


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`y(1+logx) dx/dy - xlogx = 0`

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Solve

`y log y  dx/ dy = log y  – x`


Find the solution of `"dy"/"dx"` = 2y–x.


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


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