Bissoy.com
Doctors Medicines MCQs Q&A

The order of the differential equation of all conics whose center lie at origin will be

The order of the differential equation of all conics whose center lie at origin will be Correct Answer 3

Concept:

Order: The order of a differential equation is the order of the highest derivative appearing in it.

Degree: The degree of a differential equation is the power of the highest derivative occurring in it, after the Equation has been expressed in a form free from radicals as far as the derivatives are concerned.

Calculation:

From the definition of order, we can say that we will need 3 arbitrary constants for defining any conic as it is a 3-dimensional figure.

So, the number of constant in the equation will be 3, hence order = 3

Related Questions

The figure shows the plot of y as a function of x
Differential Equations mcq question image
The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is
Find the area of a rhombus whose 3 vertexes lie on the circumference of a circle and one vertex lie on the center of the circle of radius 10 cm.
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
Superman is flying over the home krypton. Krypton is spherical in shape. It is in Pune city, which is situated on the equator. It is now facing towards the North Pole. He crosses the equator and flies to his left and reaches Mumbai, which is just opposite the equator of Pune city. He decides to fly to the South Pole, but he stops in Delhi on half way. What are the measurements of the following angles, considering the center of the krypton as a reference point? 1. Pune-Center-Delhi 2. Pune-Center-Mumbai 3. Mumbai-Center-Delhi
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. Some trust are lie. II. All lie are excuse. Conclusions: I. Some trust are excuse. II. Some excuse are lie.
Consider the following second-order differential equation: y" - 4y' + 3y = 2t - 3t2
The particular solution of the differential equation is
A class III mathematics teacher gave the following questions to her students:  \(\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}\) Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?
With reference to National Highways Development Project (NHDP), consider the following statements:
1. Belgaum and Nellore lie on the Golden Quadrilateral.
2. Vadodara and Jhansi lie on the East - West Corridor.
3. Ambala and Kanpur lie on the North - South Corridor.
Which of these statements is/are correct ?
Which of the following statement is correct?
1. An appeal may lie from an original decree passed ex parte
2. No appeal shall lie from a decree passed by the Court with the consent of parties
3. No appeal shall lie on a question of law
The system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is :