Explore topic-wise MCQs in Ordinary Differential Equations.

This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.

1.

Solution of the differential equation 6y2 dx x(x3 + 2y)dy = 0 is ________

A. ( frac{y}{x^3} = frac{-log u2061y}{2} + c )
B. ( frac{y^2}{x^3} = frac{-log u2061x}{4} + c )
C. ( frac{x}{y^3} = frac{-log u2061x}{2} + c )
D. ( frac{x}{y^2} = frac{-log u2061y}{4} + c )
Answer» B. ( frac{y^2}{x^3} = frac{-log u2061x}{4} + c )
Discussion
2.

Solution of the differential equation ( frac{dy}{dx} -y ,tan x = frac{sin x cos^2 x}{y^2} ) is ______

A. (y ,cos^2 x = frac{-cos^4 xsin^2 x}{2} + c )
B. (y^2 cos^2 x = frac{sin^6 x}{2} + c )
C. (y^3 cos^3 x = frac{-cos^6 x}{2} + c )
D. (y^4 cos^5 x = frac{sinx cos u2061x}{2} + c )
Answer» D. (y^4 cos^5 x = frac{sinx cos u2061x}{2} + c )
Discussion
3.

Solution of the differential equation ( frac{dy}{dx} + frac{y}{x} = y^2 ) x is ________

A. ( frac{1}{y} = -x + c )
B. ( frac{1}{xy} = -x + c )
C. ( frac{1}{(xy)^2} = -y + c )
D. ( frac{1}{xy} = -x^2 + c )
Answer» C. ( frac{1}{(xy)^2} = -y + c )
Discussion