Math Chapter Wise

EnglishSECTION B PGT TIER-I 31.11.2014

Q221.The differential equation of the family of curves 2 2 x y 2ay 0, where a is arbitrary constant, is–

A2 2 dy (x y) 2xy dx B2 2 dy 2(x y) xy dx C2 2 dy 2(x y) xy dx D2 2 dy (x y) 2xy dx

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q222.The order and degree of the differential equation dy dx dy 2 y x dx = + = + is–

A1,2 B1,3 C2,1 D1,1

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q223.lf y y(x) = and 2 sinx dy cosx, y 1 dx + = − + (()) y 0 1 = then (((()))) y 2 π equals–

A1/3 B2/3 C−1/3 D1

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q224.The solution of the differential equation 2 dy x 2y x dx + = + = is–

A2 x C y 4x + = B2 x y C 4 = + C4 2 x C y x + = D2 x C y 4x + =

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q225.If x y 3, = then 2 d y dx is–

A−x 2/x(x 1)3 − B1 Clog 3 Dy (log3)2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q226.If sin (x + y) = log (x + y), then dy dx is equal to–

A1 B–1 C2 D–2

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English(GIC) Lecture Exam 2015

Q227.If x sec cos and n n y sec cos, then the value of 2 2 dy (x 4) dx is–

A2 2/n (y 4) B2 2/x (y 4) C2/y 4 DNone of the above

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English(GIC) Lecture Exam, 2015

Q228.The general solution of the differential equation (siny ysinxy)dx (xcosy xsinyx)dy 0 is–

Ax cos y sin xy c Bx cos y sin xy c Cxsin y cos xy c Dxsin y cos xy c

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English(GIC) Lecture Exam, 2015

Q229.Which one of the following is a solution of the differential equation– dy xtan(y x) 1, dx y(0) 2

A2 x cos(x y) e B2 x cos(y x) e C2 x / 2 sin(y x) e D2 x / 2 sin(y x) e

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English(GIC) Lecture Exam, 2015

Q230.General solution of (D2 +D–6)y=x is–

A2x 3x 1 2 1 y c e c e (6x 1) 36 B2x 3x 1 2 1 y c e c e (6x 1) 36 C2x 3x 1 2 1 y c e c e (6x 1) 36 D2x 3x 1 2 1 y c e c e (6x 1) 36

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English(GIC) Lecture Exam, 2015

Q231.If the integrating factor of the differential equation 2 x dy x my x e dx 2 1 is x then value of m is–

A–1 B1 C2 D–2

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English(GIC) Lecture Exam, 2015

Q232.The solution of the differential equation dy 2x y 1 dx x 2y 3 represents a family of–

Aparabolas Bellipses Chyperbolas Dcircles

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English(GIC) Lecture Exam, 2015

Q233.Integrating factor for the differential equation 2 2 2xydx (y 3x)dy 0 is –

Ay 2/e y By 2/e y Cy–2 Dy–4

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English(GIC) Lecture Exam, 2015

Q234.If sin x cos x (2t 1)dt, then dy dx at x 2 is–

A0 B1 C–1 D2

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EnglishTGT 2013

Q235.Solution of Differential equation 2 d y y 0 dx − =

AOscillatory BExponential CTrigonometric DNone of these

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EnglishPGT 2013 UP PCS (Pre) 1997

Q236.An integrating factor of the differential equation: (((()))) 2 dy 1 x xy 1 dx − − = − − = − − = − − = is

Ax B2 x 1 x − C−2/1 x D() 2 e 1 log 1 x 2 −

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EnglishUP PCS (Pre) 1997

Q237.A singular solution of the differential equation: (()) 2 4 2 y y px x p, − = − = is

A2 x y 0 + = B2 y x 0 + = C2 4x y 0 + = D2 4y x 0 + =

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EnglishUP PCS (Pre) 1997

Q238.The roots of the auxiliary equation of the differential equation 2 d y dy 3 4y 0 dx dx − − = − − = − − = − − = are:

A1,4 B–1, 4 C–1,–4 D1,–4

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EnglishUP PCS (Pre) 1997

Q239.The value of 2 2 1 cosax D a + is:

Ax cosax 2a Bx sinax 2a − Cx sinax 2a DNone of these

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EnglishTGT 2009

Q240.If 2 dy x y 1,thenyis dx + = − + = − + = − + = −

A1 + ce1/x B1 x 1 ce − + C1 x e c + D1 x e c − +

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