Test: Differential Equations- 2 - JEE MCQ

2

0

1

3

y = 2sin(x + c)

y = 2cosx + c

y = 2sin(2x) + c

y = 2sinx²+ c

Rs 1848

Rs 1648

Rs 1948

Rs 1748

(x + 3)² = y + 4

(x + 5)² = 2y + 3

(x + 4)² = y + 3

(x + 5)² = 2y + 3

logy = 2{x−log|x|} + C

logy = {x+log|x|} + C

logy = {x−log|x|} + C

None of these

2, degree undefined

4, degree undefined

1, degree undefined

3, degree undefined

y = 1 + Ae^x

y = 1 + Ae^−x

y = 1 + Ae^−3x

y = B + Ae^−x

None of these

None of these

2, degree undefined

3, degree undefined

4, degree undefined

1, degree undefined

tan x tan y = C

y = tan 2x tan y + C

y = tan x tan 2y + C

y = tanx²tan y + C

y’ = h(x)g(y)

y² = sin (h(x))

y² = cos (g(y))

y³ = g(y)

1,degree undefined

1, 1

1, 2

2, 1

y = log(e^2x+ e^−x) + C

y = log(e^x+ e^−x) + C

y = (e^x+ e^−x) + C

y = log(e^−2x+ e^−x) + C

y = e^−2x+Ce^−3x

y = e^−2x−Ce^−5x

y = e^−3x−Ce^−3x

y = e^−2x−Ce^−3x

1,degree undefined

1, 2

2, 1

2, 2

y = e^−cx

y = e^cx+ e^−cx

y = e^cx

y² = e^cx

Differentiate thefunction successively as many times as the number of arbitrary constants inthe given function and eliminate the arbitrary constants.

Differentiate thefunction twice and eliminate the arbitrary constants

Differentiate thefunction once and eliminate the arbitrary constants

Differentiate thefunction once and add values to arbitrary constants

F(x,y) is a homogeneous function of degree one

F(x,y) is a homogeneous function of degree three

F(x,y) is a homogeneous function of degree two

F(x,y) is a homogeneous function of degree zero