Differential Equation questions
503 published questions with worked solutions.
- The differential equation whose solution represents the family x^2y = 4e^x + c, where c is an arbitrary constant, is
- The order and degree of the differential equation 1+ 1 ( dy dx )^2 = ( d^2y dx^2 )^ 32 , respectively are
- The general solution of the differential equation dy dx + yx=x^2+5 is ….
- The order and degree of the differential equation ( d^3y dx^3 )^ 23 -3 d^2y dx^2 +5 dy dx +4=0 are respectively
- If x is an integrating factor of the differential equation dy dx +Py=Q, then P can be
- If y=f(x) is a monotonically increasing function such that ( dy dx )^2=6- dy dx , and y(0)=5, then y(3)=
- In a culture bacteria count is 1,00,000 initially. The number increases by 10% in first 2 hours. In how many hours will the count...
- A particular solution of 3e^x y ,dx+(1-e^x) ^2y ,dy=0 with y(1)= 4 is
- The equation of the curve passing through the origin and satisfying the equation (1+x^2) dy dx +2xy=4x^2, is
- The differential equation of all circles having their centres on the line y=5 and touching X-axis is.....
- A particular solution of dy dx = (x + 9y)^2, when x = 0, y = 1 27 is
- The general solution of dy dx = 2xye^ x^2 is
- Which of the following is not a homogenous function?
- The assets of a person reduced in his business such that the rate of reduction is proportional to the square root of the existing...
- The differential equation satisfied by y = X sin (6t + 5) + Y cos (6t + 5) (where X and Y are constants)
- The general solution of the differential equation. dy dx + x+y 2 = ( x-y 2 ) is
- The equation of the curve passing through (2, 92 ) and having the slope (1- 1 x^2 ) at (x, y) is
- If y+ d dx (xy)=x( x+ x) then
- The population of a town increases at a rate proportional to the population at that time. If the population increases from forty...
- The degree of the differential equation d^ 2 y dx^ 2 +3 ( dy dx )^ 2 =x^ 2 ( d^ 2 y dx^ 2 ) is
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration