1

JEE Main 2021 (Online) 25th July Morning Shift

Numerical

+4

-1

Let y = y(x) be solution of the following differential equation $${e^y}{{dy} \over {dx}} - 2{e^y}\sin x + \sin x{\cos ^2}x = 0,y\left( {{\pi \over 2}} \right) = 0$$ If $$y(0) = {\log _e}(\alpha + \beta {e^{ - 2}})$$, then $$4(\alpha + \beta )$$ is equal to ______________.

Your input ____

2

JEE Main 2021 (Online) 22th July Evening Shift

Numerical

+4

-1

Let y = y(x) be the solution of the differential equation $$\left( {(x + 2){e^{\left( {{{y + 1} \over {x + 2}}} \right)}} + (y + 1)} \right)dx = (x + 2)dy$$, y(1) = 1. If the domain of y = y(x) is an open interval ($$\alpha$$, $$\beta$$), then | $$\alpha$$ + $$\beta$$| is equal to ______________.

Your input ____

3

JEE Main 2021 (Online) 20th July Evening Shift

Numerical

+4

-1

Let a curve y = y(x) be given by the solution of the differential equation $$\cos \left( {{1 \over 2}{{\cos }^{ - 1}}({e^{ - x}})} \right)dx = \sqrt {{e^{2x}} - 1} dy$$. If it intersects y-axis at y = $$-$$1, and the intersection point of the curve with x-axis is ($$\alpha$$, 0), then e

^{$$\alpha$$}is equal to __________________.Your input ____

4

JEE Main 2021 (Online) 18th March Evening Shift

Numerical

+4

-1

Let y = y(x) be the solution of the differential equation

xdy $$-$$ ydx = $$\sqrt {({x^2} - {y^2})} dx$$, x $$ \ge $$ 1, with y(1) = 0. If the area bounded by the line x = 1, x = e

xdy $$-$$ ydx = $$\sqrt {({x^2} - {y^2})} dx$$, x $$ \ge $$ 1, with y(1) = 0. If the area bounded by the line x = 1, x = e

^{$$\pi$$}, y = 0 and y = y(x) is $$\alpha$$e^{2$$\pi$$}+ $$\beta$$, then the value of 10($$\alpha$$ + $$\beta$$) is equal to __________.Your input ____

Questions Asked from Differential Equations (Numerical)

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JEE Main 2022 (Online) 27th July Morning Shift (1)
JEE Main 2022 (Online) 26th July Evening Shift (1)
JEE Main 2022 (Online) 25th July Evening Shift (2)
JEE Main 2022 (Online) 29th June Evening Shift (1)
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JEE Main 2022 (Online) 27th June Evening Shift (1)
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JEE Main 2021 (Online) 25th February Evening Shift (1)
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