STD 12 - 9. differential equations - CBSE STD 12 Science Mathematics Questions

607

Questions

1

Question groups

5

Question types

01

M.C.Q (1 Marks)

607 Q→

Sample Questions

STD 12 - 9. differential equations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

The order of the differential equation of all circles of radius $r$, having centre on $y$-axis and passing through the origin is

✓
$1$
B
$2$
C
$3$
D
$4$

Answer: A.

View full solution →

Q 2M.C.Q (1 Marks)1 Mark

The differential equation of all circles in the first quadrant which touch the coordinate axes is of order

✓
$1$
B
$2$
C
$3$
D
None of these

Answer: A.

View full solution →

Q 3M.C.Q (1 Marks)1 Mark

If $m$ and $n$ are the order and degree of the differential equation ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^5} + 4\frac{{{{\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)}^3}}}{{\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)}} + \frac{{{d^3}y}}{{d{x^3}}} = {x^2} - 1$, then