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प्रश्न
Fill in the blank:
The integrating factor of the differential equation `dy/dx – y = x` is __________
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उत्तर
The integrating factor of the differential equation `dy/dx – y = x` is e –x
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संबंधित प्रश्न
For the differential equation, find the general solution:
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For the differential equation, find the general solution:
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`dy/dx = (1+x^2)(1+y^2)`
For the differential equation, find the general solution:
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For the differential equation, find the general solution:
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`(x^3 + x^2 + x + 1) dy/dx = 2x^2 + x; y = 1` When x = 0
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At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (- 4, -3). Find the equation of the curve given that it passes through (-2, 1).
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Find the particular solution of the differential equation ex tan y dx + (2 – ex) sec2 y dy = 0, give that `y = pi/4` when x = 0
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Solve
y dx – x dy = −log x dx
Solve
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A differential equation in which the dependent variable, say y, depends only on one independent variable, say x, is called as ordinary differential equation
Solve the differential equation `(x^2 - 1) "dy"/"dx" + 2xy = 1/(x^2 - 1)`.
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Solve: (x + y)(dx – dy) = dx + dy. [Hint: Substitute x + y = z after seperating dx and dy]
Find the equation of the curve passing through the (0, –2) given that at any point (x, y) on the curve the product of the slope of its tangent and y-co-ordinate of the point is equal to the x-co-ordinate of the point.
Solve the following differential equation
x2y dx – (x3 + y3)dy = 0
