M0IITU18 - Differential equation qns

M0IITU18 - Differential equation qns - Differential...

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. y = 4 sin 3x is a solution of the differential equation : (A) dy dx + 8y = 0 (B) dy dx - (C) d y dx 2 2 + 9y = 0 (D) d y dx 2 2 - 9y = 0 2. The solution of the diff. equation, 3 e x tan y dx + (1 - e x ) sec 2 y dy = 0 is : y = c (1 - e x ) 3 (1 - e x ) 3 tan y = c (1 - e x ) x ) tan y = c 3. The differential equation whose solution is, y = A sin x + B cos x, is : d y dx 2 2 + y = 0 d y dx 2 2 - dy dx + None of these 4. The solution of the diff. equation, x cos y dy = (x e x log x + e x ) dx, is : sin y = 1 x e x + c sin y = e x log x + c = 0 x log x + c 5. The differential equation of the family of curves, y = a cos (x + b), is : (A) d y dx 2 2 - d y dx 2 2 + d y dx 2 2 + 2y = 0 (D) None of these 6. The equation of the curve which passes through the point (1, 1) and whose slope is given by, 2y x , is : y = x 2 x 2 - y 2 = 0 2x 2 + y 2 = 3 7. The order & degree of the differential equation dy dx dy dx - 4 - 7x = 0, are : 1 & 1 2 2 & 1 1 & 1 1 & 2 8. The differential equation for all the straight lines which are at a unit distance from the origin, is : y x dy dx - 2 = 1 - dy dx 2 y x dy dx + 2 = 1 + dy dx 2 y x dy dx - 2 dy dx 2 y x dy dx + 2 dy dx 2 9.
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M0IITU18 - Differential equation qns - Differential...

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