1
JEE Advanced 2023 Paper 2 Online
Numerical
+4
-0
For $x \in \mathbb{R}$, let $y(x)$ be a solution of the differential equation
$\left(x^2-5\right) \frac{d y}{d x}-2 x y=-2 x\left(x^2-5\right)^2$ such that $y(2)=7$.
Then the maximum value of the function $y(x)$ is :
$\left(x^2-5\right) \frac{d y}{d x}-2 x y=-2 x\left(x^2-5\right)^2$ such that $y(2)=7$.
Then the maximum value of the function $y(x)$ is :
Your input ____
2
JEE Advanced 2022 Paper 2 Online
Numerical
+3
-1
If $y(x)$ is the solution of the differential equation
$$ x d y-\left(y^{2}-4 y\right) d x=0 \text { for } x > 0, y(1)=2, $$
and the slope of the curve $y=y(x)$ is never zero, then the value of $10 y(\sqrt{2})$ is
$$ x d y-\left(y^{2}-4 y\right) d x=0 \text { for } x > 0, y(1)=2, $$
and the slope of the curve $y=y(x)$ is never zero, then the value of $10 y(\sqrt{2})$ is
Your input ____
3
JEE Advanced 2018 Paper 2 Offline
Numerical
+3
-0
Let f : R $$ \to $$ R be a differentiable function with f(0) = 0. If y = f(x) satisfies the differential equation $${{dy} \over {dx}} = (2 + 5y)(5y - 2)$$, then the value of $$\mathop {\lim }\limits_{n \to - \infty } f(x)$$ is ...........
Your input ____
4
IIT-JEE 2011 Paper 1 Offline
Numerical
+3
-1
Let $$f:[1,\infty ) \to [2,\infty )$$ be a differentiable function such that $$f(1) = 2$$. If $$6\int\limits_1^x {f(t)dt = 3xf(x) - {x^3} - 5} $$ for all $$x \ge 1$$, then the value of f(2) is ___________.
Your input ____
Questions Asked from Differential Equations (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced Subjects
Physics
Mechanics
Units & MeasurementsMotionLaws of MotionWork Power & EnergyImpulse & MomentumRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryStructure of AtomRedox ReactionsGaseous StateChemical EquilibriumIonic EquilibriumSolutionsThermodynamicsChemical Kinetics and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic Table & PeriodicityChemical Bonding & Molecular StructureIsolation of ElementsHydrogens-Block Elementsp-Block Elementsd and f Block ElementsCoordination CompoundsSalt Analysis
Organic Chemistry
Mathematics
Algebra
Quadratic Equation and InequalitiesSequences and SeriesMathematical Induction and Binomial TheoremMatrices and DeterminantsPermutations and CombinationsProbabilityVector Algebra3D GeometryStatisticsComplex Numbers
Trigonometry
Coordinate Geometry
Calculus