Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 6

MEDIUM

JEE Main

IMPORTANT

Earn 100

Which of the following are true for the curve represented by the differential equation $\sec^{2} y \frac{d y}{d x} + 2 x \tan y = x^{3}$ satisfying $y (1) = 0$ .

50% studentsanswered this correctly

Important Questions on Differential Equations - II

HARD

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 3

A curve

y = f (x)

satisfies

\frac{d^{2} y}{d x^{2}} = 6 x - 4

and

f (x)

has local minimum value

5

at

x = 1

. If

a

and

b

be the global maximum and global minimum values of

f (x)

in interval

[0, 2]

, then

a b

is equal to