Differential Equation questions
503 published questions with worked solutions.
- If y(x) is the solution of the differential equation x ,dy - (y^2 - 4y) ,dx = 0 for x > 0, y(1) = 2, and the slope of the curve y...
- For x R , let the function y(x) be the solution of the differential equation dy dx + 12y = ( 12 x ), y(0) = 0. Then, which of the...
- For x R , let y(x) be a solution of the differential equation (x^2 - 5) dy dx - 2xy = -2x(x^2 - 5)^2 such that y(2) = 7. Then the...
- Let y = y_ 1 (x) and y = y_ 2 (x) be two distinct solution of the differential equation dy/dx = x + y, with y_ 1 (0) = 0 and y_ 2...
- Let y = y(x) be the solution curve of the differential equation (2x^ 2 ) _ e ( x^ 2 )dy + (4xy - 4 2 x (x^ 2 - /4))dx = 0, 0 < x...
- If the solution curve of the differential equation (( ^ -1 y) - x)dy = (1 + y^ 2 )dx passes through the point (1, 0), then the...
- Let y = y(x) be the solution of the differential equation (1 - x^ 2 )dy = (xy + (x^ 3 + 2) 1 - x^ 2 )dx, −1 < x < 1, and y(0) =...
- If dy/dx + 2^ x−y (2^y − 1)/(2^x − 1) = 0, x, y > 0, y(1) = 1, then y(2) is equal to :
- Let y = y(x) be the solution curve of the differential equation dy/dx + (1/(x^ 2 - 1))y = ((x − 1)/(x + 1))^ 1/2 , x > 1 passing...
- The differential equation of the family of circles passing through the points (0, 2) and (0, −2) is
- If y = y(x), x (0, /2) be the solution curved of the differential equation ( ^ 2 2x)dy/dx + (8 ^ 2 2x + 2 4x)y = 2e^ -4x (2 2x +...
- Let x = x(y) be the solution of the differential equation 2y e^ x/y^ 2 dx + (y^ 2 - 4x e^ x/y^ 2 )dy = 0 such that x(1) = 0....
- Let the solution curve y = y(x) of the differential equation [x/ x^ 2 - y^ 2 + e^ y /^ x ] x dy/dx = x + [x/ x^ 2 - y^ 2 + e^ y...
- Let y = y(x) be the solution of the differential equation x(1 - x^ 2 )dy/dx + (3x^ 2 y - y - 4x^ 3 ) = 0, x > 1, with y(2) = −2....
- If the solution curve of the differential equation dy/dx = (x + y − 2)/(x − y) passes through the point (2, 1) and (k + 1, 2), k...
- Let y = y(x) be the solution curve of the differential equation dy/dx + ((2x^ 2 + 11x + 13)/(x^ 3 + 6x^ 2 + 11x + 6))y = (x +...
- Let the solution curve y = y(x) of the differential equation (1 + e^ 2x )(dy/dx + y) = 1 pass through the point (0, /2). Then, _...
- If y = y(x) is the solution of the differential equation (1 + e^ 2x )dy/dx + 2(1 + y^ 2 )e^ x = 0 and y(0) = 0, then 6(y'(0) +...
- Let y = y(x), x > 1, be the solution of the differential equation (x − 1)dy/dx + 2xy = 1/(x − 1), with y(2) = (1 + e^ 4 )/(2e^ 4...
- Let the solution curve of the differential equation x dy/dx − y = y^ 2 + 16x^ 2 , y(1) = 3 be y = y(x). Then y(2) is equal to :
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