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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 - 8y = 0 (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 : 3. The differential equation whose solution is, y = A sin x + B cos x, is : 2 2 + y = 0 2 2 - y = 0 4. The solution of the diff. equation, x cos y dy = (x e x log x + e x ) dx, is : 5. The differential equation of the family of curves, y = a cos (x + b), is : (A) d y dx 2 2 - y = 0 (B) d y dx 2 2 + y = 0 (C) 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 : 7. The order & degree of the differential equation dy dx dy dx - 4 - 7x = 0, are :
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