Differential Equation questions
503 published questions with worked solutions.
- Let y_1(x) and y_2(x) be two solutions of the differential equation dy dx =x. If y_1(0)=0 and y_2(0)=4, then what is the number...
- The differential equation, representing the curve y=e^x(a x+b x) where a and b are arbitrary constants, is
- What are the order and degree respectively of the differential equation 2- ( dy dx )^2 ^ 0 6 = d^2y dx^2 ?
- If dy dx =2e^xy^3, y(0)= 1 2 then what is 4y^2(2-e^x) equal to?
- What is the degree of the differential equation ( d^2y dx^2 )^ 3 2 = ( dy dx )^ 5 2 ?
- Consider the following statements : I. y=xe^ 2x is the solution of dy dx =y (2+ 1 x ). II. y=x |x|+cx is the solution of dy dx =...
- If k is an arbitrary constant, then what is the general solution of the equation (x+y)^2 dy dx =k^2?
- What is the solution of the differential equation ( dy dx )=p when y(0)=q?
- What is the solution of y ,dx-x ,dy-y^2 x ,dx=0?
- What is the differential equation of the family of straight lines passing through the origin?
- What is the degree of the differential equation representing the family of curves y^2= c ,x, where c is a positive parameter?
- What is the solution of the differential equation dy dx =1+x (y-x)?
- If the general solution of a differential equation is y^2+2cy-cx+c^2=0, where c is an arbitrary constant, then what is the order...
- What is the degree of the following differential equation? x= 1+ d^2y dx^2
- Which one of the following differential equations has the general solution y=ae^x+be^ -x ?
- What is the solution of the following differential equation? ( dy dx )+y=x
- What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?
- What is the degree of the differential equation of all circles touching both the coordinate axes in the first quadrant?
- What is the differential equation of y=A- B x ?
- For any real numbers and , let y_ , (x), x R , be the solution of the differential equation dy dx + y = xe^ x , y(1) = 1. Let S =...
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