Math Chapter Wise

EnglishRajasthan TGT 2011

Q321.Differential equation xdy – ydx = 0 represents

AA rectangular hyperbola BA line passing through origin CA parabola DA circle

Show answer

EnglishRajasthan TGT 2011

Q322.The solution of the differential equation 3 2 dy dy y 2x y dx dx = + is-

A2 3 y 2cx c = + B2 x cy c = + C2 y cx c = + D2 3 x 2cy c = +

Show answer

EnglishRajasthan TGT 2011

Q323.The general solution of the differential equation 2 x 2 d y dy 2y e dx + − = + − = + − = + − = is

Ax 2x x 1 2 1 y c e c e xe 3 − = + + Bx 2x x 1 2 1 y c e c e e 2 − = + + Cx 2x 2 x 1 2 1 y c e c e x e 6 − = + + Dx 2x 2 x 1 2 1 y c e c e x e 2 − = + +

Show answer

EnglishRajasthan TGT 2011

Q324.The solution of the differential equation 2 2 2 2 d y dy x x – y x dx + = + = is

A2 x 2x 1 2 x y c e c e 3 − = + + B2x x x 1 2 e y c e c e 3 − = + + C2 1 c x y c x x 3 = + + D2x 2 1 c e y c x x 3 = + +

Show answer

EnglishRajasthan TGT 2011

Q325.If a and b are arbitrary constants, then the partial differential equation of 2 2 z ax a y b = + + = + + = + + = + + is-

A2 p yq = B2 p xq = C2 q 2xp = D2 q 2yp =

Show answer

EnglishRajasthan TGT 2011

Q326.Solution of the partial differential equation (y2 +z2 –x2) p–2xyq+2xz = 0 is

A2 2 2 y x y z, 0 z z + − φ = B2 2 2 x x y z, 0 z z + + φ = C2 2 2 y x y z, 0 z z + + φ = D2 2 2 z x y z, 0 x x − + φ =

Show answer

EnglishJharkhand TGT 2017

Q327.Solve the differential equation 3(xy)2 dx+2x3 ydy = 0, for 'C' is an arbitrary constant.

Ax2 y2 +c=0 Bx3 y3 +c=0 Cx3 y2 +c=0 Dx2 y3 +c=0

Show answer

EnglishJharkhand TGT 2017

Q328.If y = sin(sin x) then y"+(tan x)y'+ycos2 x =

A0 B1 Ctan x Dcos2/x

Show answer

EnglishJharkhand TGT 2017

Q329.The degree of the differential equation dy x sin dx = is

A1 B0 C2 DNot defined

Show answer

EnglishJharkhand TGT 2017

Q330.The solution of the equation y x dy 3 dx − = is

A3x –3y = c Bx y 1 1 c 3 3 + = C3x+3y = c Dx y 1 1 c 3 3 − =

Show answer

EnglishJharkhand TGT 2017

Q331.If x=cost and y = sinpt, where p is a constant then (1 – x2) y(n + 2) – (2n + 1) xy(n + 1) =

A(n2 –p2)yn B0 C1 Dn(n+p)yn

Show answer

EnglishJharkhand TGT 2017

Q332.If ((()) y log sin(logx), = then dy dx =

A() 1 cos logx x Blog (sin x) C() 1 cot log x x Dlog (cot x)

Show answer

EnglishKVS TGT DEC 2017

Q333.The solution of the differential equation dy 2x y 3 dx represents–

Aa straight line Bcircles Cparabola Dellipse

Show answer

EnglishKVS TGT DEC 2017

Q334.The differential equation y = A cos αx + B sin αx, where A and B are constant-

A2 d y y 0 dx B2 d y y 0 dx C2 d y y 0 dx D2 d y y 0 dx

Show answer

EnglishKVS TGT DEC 2017

Q335.The integrating factor 3 dy y x 3 dx x is-

A–x Blog x Cx Dex

Show answer

EnglishKVS TGT DEC 2017

Q336.The solution of 1 3 dy y dx x is–

A2 2 3 3 x y C B1 1 3 3 x y C C2 2 3 3 y x C D1 1 3 3 y x C

Show answer

EnglishTGT 2013

Q337.Differential equation 3 3 2 2 3 2 d y d y x 0 dx dx + = what will be the order?

A3 B2 C1 D6

Show answer

EnglishTGT 2013

Q338.Differential equation 3 2 2 d y dy dy sinx y 0 dx dx dx + + + = what will be the degree of?

A1 B2 C3 D6

Show answer

EnglishTGT 2011

Q339.Differential equation 2 2 2 2 2 2 d y dy d y 3 x log dx dx dx + = what is the order?

A1 B2 C3 DNone of these

Show answer

EnglishJharkhan TGT 2017 TGT 2011

Q340.Differential equation of curve represent by the solution dy 2x. y 3 dx − = − = is

AStraight line BCircle CParabola DEllipse

Show answer