Find the best tutors and institutes for Class 12 Tuition
Search in
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
L.H.S. =
= R.H.S.
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Now, differentiating equation (1) with respect to x, we get:
Substituting the values of
in the given differential equation, we get the L.H.S. as:
Thus, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
L.H.S. =
= R.H.S.
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of the equation with respect to x, we get:
L.H.S. = R.H.S.
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
L.H.S. = R.H.S.
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of the equation with respect to x, we get:
Substituting the value of
in equation (1), we get:
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
Hence, the given function is the solution of the corresponding differential equation.
verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:
Differentiating both sides of this equation with respect to x, we get:
Substituting the value of
in the given differential equation, we get:
Hence, the given function is the solution of the corresponding differential equation.
The numbers of arbitrary constants in the general solution of a differential equation of fourth order are:
(A) 0 (B) 2 (C) 3 (D) 4
We know that the number of constants in the general solution of a differential equation of order n is equal to its order.
Therefore, the number of constants in the general equation of fourth order differential equation is four.
Hence, the correct answer is D.
The numbers of arbitrary constants in the particular solution of a differential equation of third order are:
(A) 3 (B) 2 (C) 1 (D) 0
In a particular solution of a differential equation, there are no arbitrary constants.
Hence, the correct answer is D.
How helpful was it?
How can we Improve it?
Please tell us how it changed your life *
Please enter your feedback
UrbanPro.com helps you to connect with the best Class 12 Tuition in India. Post Your Requirement today and get connected.
Find best tutors for Class 12 Tuition Classes by posting a requirement.
Get started now, by booking a Free Demo Class
