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Class XII Maths Differential Equations 1

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Question 1

The equation of the curve satisfying the differential equation y₂(x² + 1) = 2xy₁ passing through the point (0, 1) and having slope of tangent at x = 0 as 3 is -

Question 2

Solution of differential equation (3y –7x + 7) dx + (7y –3x + 3) dy = 0 is-

Question 3

If p and q are order and degree of differential equation y²

+ 3x

+ x²y² = sin x, then-

Question 4

The latus-rectum of the conic which is passing through the origin and has the property that the normal at each point (x, y) intersects the x-axis at ((x + 1), 0), is -

Question 5

If x intercept of any tangent is 3 times the x-coordinate of the point of tangent, then the equation of the curve given that it passes through (1, 1) is-

Question 6

The Order and degree of the differential equation whose general solution is, y = c(x – c)², are respectively -

Question 7

The order and degree of the differential equation

are-

Question 8

The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is

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Jun 30JEE & BITSAT