Class 12
Maths :-NCERT Solutions - Differential Equations.
Page No 382:
Question 1:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 2:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 3:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 4:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 5:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 6:
Determine order and degree(if defined) of differential equation
Page No 382:
Question 7:
Determine order and degree(if defined) of differential equation
Page No 383:
Question 8:
Determine order and degree(if defined) of differential equation
Page No 383:
Question 9:
Determine order and degree(if defined) of differential equation
Page No 383:
Question 10:
Determine order and degree(if defined) of differential equation
Page No 385:
Question 1:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 2:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 3:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 4:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 5:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 6:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 7:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 8:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 9:
verify that the given function is a solution of the corresponding differential equation
Page No 385:
Question 10:
verify that the given function is a solution of the corresponding differential equation
Page No 391:
Question 2:
Form a differential equation representing the given curve by eliminating arbitrary constants a and b
Page No 391:
Question 3:
Form a differential equation representing the given curve by eliminating arbitrary constants a and b
Page No 391:
Question 4:
find the differential equation of
Page No 391:
Question 5:
Form a differential equation representing the given curve by eliminating arbitrary constants a and b
Page No 395:
Question 2:
find the general solution of
Page No 396:
Question 3:
find the general solution of
Page No 396:
Question 4:
find the general solution of
Page No 396:
Question 5:
find the general solution of
Page No 396:
Question 6:
find the general solution of
Page No 396:
Question 7:
find the general solution of
Page No 396:
Question 8:
find the general solution of
Page No 396:
Question 9:
find the general solution of
Page No 396:
Question 10:
find the general solution of
Page No 396:
Question 11:
find the general solution of
Page No 396:
Question 12:
find a particular solution satisfying the given condition:
Page No 396:
Question 13:
find a particular solution satisfying the given condition:
Page No 396:
Question 14:
find a particular solution satisfying the given condition:
Page No 397:
Question 22:
In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?
Page No 406:
Question 1:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 2:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 3:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 4:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 5:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 6:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 6:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 8:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 9:
show that the given differential equation is homogeneous and solve it
Page No 406:
Question 11:
find the particular solution satisfying the given condition:
Page No 406:
Question 12:
find the particular solution satisfying the given condition:
Page No 406:
Question 13:
find the particular solution satisfying the given condition:
Page No 406:
Question 14:
find the particular solution satisfying the given condition:
Page No 406:
Question 15:
find the particular solution satisfying the given condition:
Page No 407:
Question 17:
Which of the following is a homogeneous differential equation?
A.
B.
C.
D.
Page No 413:
Question 1:
find the general solution of
Page No 413:
Question 2:
find the general solution of
Page No 413:
Question 3:
find the general solution of
Page No 413:
Question 4:
find the general solution of
Page No 413:
Question 5:
find the general solution of
Page No 413:
Question 6:
find the general solution of
Page No 413:
Question 6:
find the general solution of
Page No 413:
Question 8:
find the general solution of
Page No 414:
Question 9:
find the general solution of
Page No 414:
Question 10:
find the general solution of
Page No 414:
Question 11:
find the general solution of
Page No 414:
Question 12:
find the general solution of
Page No 414:
Question 13:
find a particular solution satisfying the given condition:
Page No 414:
Question 14:
find a particular solution satisfying the given condition:
Page No 414:
Question 15:
find a particular solution satisfying the given condition:
Page No 420:
Question 6:
Find the general solution of the differential equation
Page No 420:
Question 7:
Show that the general solution of the differential equation is given by (x + y + 1) = A (1 – x – y – 2xy), where A is parameter
Page No 420:
Question 8:
Find the equation of the curve passing through the point whose differential equation is,
Page No 420:
Question 9:
Find the particular solution of the differential equation
, given that y = 1 when x = 0
Page No 420:
Question 10:
Solve the differential equation
Page No 420:
Question 11:
Find a particular solution of the differential equation, given that y = – 1, when x = 0 (Hint: put x – y = t)
Page No 421:
Question 12:
Solve the differential equation
Page No 421:
Question 13:
Find a particular solution of the differential equation , given that y = 0 when
Page No 421:
Question 14:
Find a particular solution of the differential equation, given that y = 0 when x = 0
Page No 421:
Question 15:
The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?