JEE-Main - Grade 12 - Mathematics - Differential Equations - Introduction and Snapshot of Differential Equations - Study ref# 923

Introduction
In this chapter, we discussed how to find
a function at
each in
its domain of definition. Further, in the chapter on Integral Calculus, we
discussed how to find a function whose
derivative is the function,
... read more

JEE-Main - Grade 12 - Mathematics - Differential Equations - Introduction and Snapshot of Differential Equations - Study ref# 924

Following sections must be covered to
understand the Differential Equations:
1. Basic Concepts
2. General and Particular Solutions of a
Differential Equation
3. Formation of a Differential Equation
whose General Solution is given... read more

JEE-Main - Grade 12 - Mathematics - Differential Equations - Target Setup for Differential Equations - Study ref# 925

Student requires to achieve the following milestones to get better grip over Differential Equation. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter T... read more

Determine order and degree (if defined)
of differential equation :
Answer: The highest order derivative is and the degree
of its highest order is one. Therefore, the given different... read more

Determine order and degree (if defined)
of differential equation :
Answer: The highest order derivative is and the degree
of its highest order is 2. Therefore, the given differential ... read more

Determine order and degree (if defined)
of differential equation :
Answer: The highest order derivative is and the degree
of its highest order is one. Therefore, the given differentia... read more

Determine order and degree (if defined)
of differential equation :
Answer: The highest order derivative is and the degree
of its highest order is 1. Therefore , the given differentia... read more

Form the differential equation of the family
of circles touching the y-axis at origin. Answer: Let C denote the family of circles
touching y-axis at the origin. Let (a,0) be the co-ordinates of the center
of any member of the family.&n... read more

Form the differential equation of the
family of ellipse having foci on y-axis and centre at origin. Answer: Equation of ellipse having foci on y-axis
and centre at origin is
…#*... read more

Form the differential equation of the
family of hyperbola having foci on x-axis and center at origin. Answer: Equation of any hyperbola foci on x-axis
and center at origin is
…... read more

For each of the differential equation ,
find a particular solution satisfying the given condition:
when Answer: We have, Answer:
which can be written as
Answer: Given Answer: Answer: when Answer: is the general
solution of differential equation where
c is a parameter. Answer: We have, ……….(i)
... read more

Find the differential equation of all
non-vertical lines in a plane. Answer: Since, the family of all non-vertical
lines in a plane is given by
, where .
Differentiating both sides w.r... read more