1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
If $${y^{1/4}} + {y^{ - 1/4}} = 2x$$, and
$$({x^2} - 1){{{d^2}y} \over {d{x^2}}} + \alpha x{{dy} \over {dx}} + \beta y = 0$$, then | $$\alpha$$ $$-$$ $$\beta$$ | is equal to __________.
$$({x^2} - 1){{{d^2}y} \over {d{x^2}}} + \alpha x{{dy} \over {dx}} + \beta y = 0$$, then | $$\alpha$$ $$-$$ $$\beta$$ | is equal to __________.
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2
JEE Main 2021 (Online) 27th July Evening Shift
Numerical
+4
-1
Let y = y(x) be the solution of the differential equation dy = e$$\alpha$$x + y dx; $$\alpha$$ $$\in$$ N. If y(loge2) = loge2 and y(0) = loge$$\left( {{1 \over 2}} \right)$$, then the value of $$\alpha$$ is equal to _____________.
Your input ____
3
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
Let $$F:[3,5] \to R$$ be a twice differentiable function on (3, 5) such that $$F(x) = {e^{ - x}}\int\limits_3^x {(3{t^2} + 2t + 4F'(t))dt} $$. If $$F'(4) = {{\alpha {e^\beta } - 224} \over {{{({e^\beta } - 4)}^2}}}$$, then $$\alpha$$ + $$\beta$$ is equal to _______________.
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4
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
If $$y = y(x),y \in \left[ {0,{\pi \over 2}} \right)$$ is the solution of the differential equation $$\sec y{{dy} \over {dx}} - \sin (x + y) - \sin (x - y) = 0$$, with y(0) = 0, then $$5y'\left( {{\pi \over 2}} \right)$$ is equal to ______________.
Your input ____
Questions Asked from Differential Equations (Numerical)
Number in Brackets after Paper Indicates
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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)
JEE Main 2022 (Online) 29th June Morning Shift (1)
JEE Main 2022 (Online) 27th June Evening Shift (1)
JEE Main 2022 (Online) 26th June Morning Shift (2)
JEE Main 2021 (Online) 27th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (2)
JEE Main 2021 (Online) 25th July Morning Shift (1)
JEE Main 2021 (Online) 22th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Evening Shift (1)
JEE Main 2021 (Online) 18th March Evening Shift (1)
JEE Main 2021 (Online) 26th February Morning Shift (2)
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JEE Main 2020 (Online) 9th January Morning Slot (1)
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