Solution of Nonhomogeneous || Differential Equations || 18mat21 || Dr Prashant Patil

In this video, (𝒅^𝟑 𝒙)/(𝒅𝒕^𝟑 )−𝒙=(𝒆^𝒕+𝟏)^𝟐 is solved to find the general solution 𝒚 =〖𝒄_𝟏 𝒆^(−𝒕)+𝒆〗^((−𝒕)⁄𝟐) (𝒄_𝟐 𝐂𝐨𝐬 ((√𝟑 𝒕)⁄𝟐)+𝒄_𝟑 𝑺𝒊𝒏((√𝟑 𝒕)⁄𝟐))
+𝒆^𝟐𝒕/𝟕+𝟐𝒕𝒆^𝒕−𝟏

#DrPrashantPatil#DifferentialEquations#18MAT21#Module02#Lecture18

For more videos and playlist of Engineering Mathematics go through the playlists

1)18MAT41- Complex Analysis, Probability and Statistical Methods:
1) Conformal Transformations[18MAT41-Module 02]
2) Complex Integration[18MAT41-Module 02]
3) Probability Distributions[18MAT41-Module 03]
4) Joint Probability Distribution and Sampling [18MAT41-Module 05]

2) 18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES:
1) Laplace Transforms [18MAT31-Module 01]:
2) Inverse Laplace Transform [18MAT31-Module 01]:
3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil
3) Fourier Transforms | 18mat31 | Module 03 | Dr Prashant Patil
4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil
5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil

2)18MAT21- Advanced Calculus and Numerical Techniques:

1) Vector Calculus [18MAT21-Module 01]:
2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]:
3) Partial Differential Equations [18MAT21-Module 03]:
4) Infinite Series [18MAT21-Module 04]:

4)18MATDIP41- Additional Mathematics II:
1) Probability[18MATDIP41-Module05]