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Singular solution of a differential equation is one that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.

Correct Answer: True
A differential equation is said to have a singular solution if in all points in the domain of the equation the uniqueness of the solution is violated. Hence, this solution cannot be obtained from the general solution.

Mr A started half an hour later than usual for the marketplace. But by increasing his speed to $$\frac{3}{2}$$ times his usual speed he reached 10 minutes earlier than usual. What is his usual time for this journey?

What is the general form of the general solution of a non-homogeneous DE (uh(t)= general solution of the homogeneous equation, up(t)= any particular solution of the non-homogeneous equation)?

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

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4. The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it?

By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than usual. His usual time is :

If a man travelled at 6 / 7th of his usual speed the time taken by him to cover the usual distance is what percentage of the usual time taken?

If a man travelled at 3 / 4th of his usual speed the time taken by him to cover the usual distance is what percentage of the usual time taken?

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reachesits destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

S1: I never took payment for speaking.
P: The Sunday Society would then assure me that on these terms I might lecture on anything I liked and how I liked.
Q: It often happened that provincial Sunday societies offered me the usual ten genuine fee to give the usual sort of lecture, avoiding controversial politics and religion.
R: Occasionally to avoid embarrassing other lecturers who lived by lecturing, the account was settled by a debit and credit entry, that is, I was credited with the usual fee and expenses and gave it back as a donation to the society.
S: I always replied that I never lectured on anything but very controversial politics and religion and that my fee was the price of my railway ticket third class if the place was farther off than I could afford to go at my own expense.
S6: In this way I secured perfect freedom of speech, and was warmed against the accusation of being a professional agitator.

The Proper sequence should be:

The solution of the general form of second order non-linear partial differential equation is obtained by Monge’s method.