Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Differential Equations

Short Answer Type

1. Write the order and degree of the differential equation

open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared plus open parentheses dy over dx close parentheses cubed plus 2 straight y space equals space 0

837 Views

2. Find the order and degrees, if defined, of each of the following differential equations:

dy over dx minus cosx space equals 0

460 Views

3. Find the order and degrees, if defined, of each of the following differential equations:

straight x space straight y space fraction numerator straight d squared straight y over denominator dx squared end fraction plus straight x open parentheses dy over dx close parentheses squared minus straight y dy over dx space equals space 0

204 Views

4. Find the order and degrees, if defined, of each the following differential equations:

straight y to the power of straight m plus straight y squared plus straight e to the power of straight y space equals space 0

195 Views

5. Determine order and degree (if defined) of differential equations:

fraction numerator straight d to the power of 4 straight y over denominator dx to the power of 4 end fraction plus sin left parenthesis straight y to the power of straight m right parenthesis space equals space 0

354 Views

6. Determine order and degree (if defined) of differential equations:

straight y apostrophe plus 5 space straight y equals 0

143 Views

7. Determine order and degree (if defined) of differential equations:

open parentheses ds over dt close parentheses to the power of 4 plus 3 straight s fraction numerator straight d squared straight s over denominator dt squared end fraction equals 0

155 Views

8. Determine order and degree (if defined) of differential equations:

open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared plus cos open parentheses dy over dx close parentheses space equals space 0

139 Views

9. Determine order and degree (if defined) of differential equations:

fraction numerator straight d squared straight y over denominator dx squared end fraction equals cos space 3 straight x plus space sin space 3 straight x

136 Views

10. Determine order and degree (if defined) of differential equations:
$left parenthesis straight y to the power of straight m right parenthesis squared plus left parenthesis straight y to the power of straight m right parenthesis cubed plus left parenthesis straight y apostrophe right parenthesis to the power of 4 plus straight y to the power of 5 space equals space 0$

The given differential equation is
(y''')² + (y'')³ + (y')⁴ + y⁵ = 0
The highest order derivative present in the given differential equation is y''' and the index of its highest power is 2.
∴ the given differential equation is of order 3 and degree 2.

119 Views