Page 132 - DMTH202_BASIC_MATHEMATICS_II

Unit 9: Solution of Differential Equation

Notes
dy x y 2 y
5. Solve the differential equation  e  x e .
dx
dy 2
y
6. Solve the differential equation  4x    1 .
dx
dy

7. Solve the differential equation  sin  x y   cos  x y .
dx
2 dy 2
8. Solve the differential equation  x y   a .
dx
dy
x
9. Solve the differential equation  tan  y x   1 .
dx
10. Solve the differential equation (2x – y + 1)dx + (2y – x – 1)dy = 0.
11. Solve the differential equation (hx + by + f ) dy + (ax + hy + g)dx = 0.

Answers: Self Assessment

1. differential equation 2. order

3. degree 4. non-linear
5. integral 6. general solution
7. particular solution 8. relation
9. unknown 10. primitive

11. Mdx + Ndy = 0 12. variable separable
13. substitution 14. exact
15. exact

9.8 Further Readings

Books D.A. Murray, Introductory Course in Differential Equations, Orient Blackswan.

Dr. Sanat Kumar Adhikari, Sanat Adhikari, Basics of Professional Mathematics,
Firewall Media.
Zafar Ahsan, Differential Equations and their Applications, PHI Learning Pvt. Ltd.

Online links www.purecoder.net

LOVELY PROFESSIONAL UNIVERSITY 127