Exams › GATE › Engineering Mathematics

The “order” of the following ordinary differential equation is _____. (d³ y)/(dx³) + ((d² y)/(dx²))⁶ + ((dy)/(dx))⁴ + y = 0

1. 1
2. 2
3. 3
4. 6

Correct answer: 3

Solution

The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is the third derivative, ((d³ y)/(dx³), which indicates that the order of the equation is 3.

Related GATE Engineering Mathematics questions

• The second-order differential equation in an unknown function u: u(x,y) is defined as ∂²u/∂x² = 2. Assuming g: g(x), f: f(y), and h: h(y), the general solution of the above differential equation is
• Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
• The solution of the equation x dy/dx + y = 0 passing through the point (1,1) is
• The Laplace transform F(s) of the exponential function, f(t)=e^(at) when t≥0, where a is a constant and (s−a)>0, is
• The Laplace transform of sinh(at) is
• An ordinary differential equation is given below. (dy/dx)(x ln x) = y The solution for the above equation is (Note: K denotes a constant in the options)

⚔️ Practice GATE Engineering Mathematics free + battle 1v1 →