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Class XII Maths Differential Equations 5
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Question 1
The solution of differential equation 
+ 1 = ex–y is-
+ 1 = ex–y is- Question 2
y = f(x) satisfies the differential equation 
– y = cos x – sin x with the condition that y is bounded when x →+ ∞ , the longest interval in which f(x) is increasing in the interval [0, π] is-
– y = cos x – sin x with the condition that y is bounded when x →+ ∞ , the longest interval in which f(x) is increasing in the interval [0, π] is- Question 3
The equation of the curve, passing through (2, 5) and having the area of, triangle formed by the x-axis, the ordinate of a point on the curve and the tangent at the point as 5 sq. units-
Question 4
The solution of the differential equation log
= 4x – 2y – 2, y = 1 when x = 1 is -
= 4x – 2y – 2, y = 1 when x = 1 is - Question 5
The solution of the differential equation 2x2y
= tan (x2y2)– 2xy2 given y(1) =
is-
Question 6
The solution of differential equation 
= 
+ 
is -
= + is - Question 7
The equation of curve through point (1, 0) and whose slope is 
is-
is- Question 8
The solution of the differential equation xdy + ydx – 
dx = 0 is-
dx = 0 is- - 440 attempts
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Jun 30JEE & BITSAT
