MHT CET 2026 18th April Morning Shift | Differential Equations Question 16 | Mathematics

A body cools from $100^\circ\text{C}$ to $60^\circ\text{C}$ in 20 minutes, the temperature of the surroundings being $20^\circ\text{C}$. The total time taken (in minutes) for the body to cool down to $40^\circ\text{C}$ is ...

$60$

$40$

$50$

$30$

MHT CET 2026 18th April Morning Shift

MCQ (Single Correct Answer)

-0

The general solution of the differential equation $x\sin x\dfrac{dy}{dx} + (x\cos x + \sin x)y = \sin x$ is

$x\sin x + y\cos x = c$

$y\sin x + x\cos x = c$

$xy\sin x - \cos x = c$

$xy\sin x + \cos x = c$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

The general solution of the differential equation $\sec y + (x - e^{\sin y})\dfrac{dy}{dx} = 0$ is...

$e^{\sin y} = x + c$

$xe^{\sin y} = \dfrac{e^{2\sin y}}{2} + c$

$2x\cos y = e^x + c$

$\sin y - e^{\sin y} = c$

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