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Differential Equations — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Formation & Solution of ODEs(15 Qs)

easy (5)

Q1The order of the DE d²y/dx² + dy/dx + y = 0 is:Q2The degree of the DE (dy/dx)³ + y = x is:Q3The solution of dy/dx = x is:Q4A separable DE is of the form:Q5The number of arbitrary constants in the general solution of an nth order ODE is:

medium (5)

Q1A linear first-order ODE is of the form:Q2The integrating factor for dy/dx + P(x)y = Q(x) is:Q3The DE dy/dx = y/x is solved to give:Q4The DE dy/dx = eˣ⁺ʸ can be written as:Q5A homogeneous DE dy/dx = f(y/x) is solved by substitution:

hard (5)

Q1The DE (x² + y²)dx + 2xy dy = 0 is exact because:Q2The solution of dy/dx + y = eˣ using IF is:Q3The orthogonal trajectories of y = cx² are:Q4The general solution of d²y/dx² - y = 0 is:Q5Clairaut's equation y = xy' + f(y') has:

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