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Undetermined Coefficient method of Solving a differential equation [part 1]
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458 views·13 years ago
Undetermined Coefficient method of Solving a differential equation [3]
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Undetermined Coefficient method of Solving a differential equation [2]
Rareinfos tun
479 views·13 years ago



![[3a] Complex Eigen values](https://i.ytimg.com/vi/1qetI9WDX-s/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhhIGUoTTAP&rs=AOn4CLBNC0suDp9CjI8d92sLBMsBQjz-sQ)

![[1c] Repeated Eigen Values](https://i.ytimg.com/vi/l6cpCMSfXjA/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhjIGUoSjAP&rs=AOn4CLC4CCLoIvSRrzre83epmObLwaOGzg)
![[1b] Repeated Eigen Values](https://i.ytimg.com/vi/Zkhu4It08QI/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoQDAP&rs=AOn4CLBaM_a8AuuYqnAXNHRT897jbsyy1A)
![[1a] Repeated Eigen Values](https://i.ytimg.com/vi/460N8DN4v5U/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGQoRzAP&rs=AOn4CLDikTQx5t8ViKOYHVp80QaMncV-kw)
![[4b] General Solution of a homogeneous linear system](https://i.ytimg.com/vi/QBE35FvQHR8/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF8oRjAP&rs=AOn4CLBrKSzx_Gzb8lyfFkK0nYYeOTByag)
![[4a] General Solution of a Homogeneous System](https://i.ytimg.com/vi/WUvn_d2n1cQ/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF4oRzAP&rs=AOn4CLBRTFF58SvFpu80Kr2x-O6WkTFE5g)
![[3-part2] Proof General Solution of a Homogeneous System](https://i.ytimg.com/vi/VHL3P8gR8Ok/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGAoRjAP&rs=AOn4CLCbCqDbIbiWj-GMKoDLS0fvyxXSpQ)
![[3 -part1] Proof General Solution of a homogeneous system](https://i.ytimg.com/vi/moylgJ2APLE/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGMoOjAP&rs=AOn4CLCyaOzUZ-jhWiPGuye-Ar_lVUH_Vw)
![[2] Proof Fundamental Set of Solutions](https://i.ytimg.com/vi/sfneQY0MCK0/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGQoTTAP&rs=AOn4CLCT1expqIWbUuUSWC7w-d3yiXX4ng)
![[1c] Verification of Solution](https://i.ytimg.com/vi/uOVNVNzK2jA/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIFsoPTAP&rs=AOn4CLCoWcMnFuxfvwefSw8gp1Ad_b4T3A)
![[1b] Verification of Solution](https://i.ytimg.com/vi/prm7elCSbZc/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGEoQDAP&rs=AOn4CLBrhd0q4HSWZehLL9-vPHWbwnIhmw)
![[1a] Verification of Solution](https://i.ytimg.com/vi/UYVuf5ZjtDs/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhyIGUoOTAP&rs=AOn4CLACg4qIoYkwlth08arLmo6zAG4KJg)
![[2c] Variation of Parameters](https://i.ytimg.com/vi/oGeFOzef1Bg/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF8oQDAP&rs=AOn4CLDHOmumuPdUPxA00MN8dh0duB0Z7w)
![[2b] Variation of Parameters](https://i.ytimg.com/vi/gRjy_cMmtuA/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhIIGUoWzAP&rs=AOn4CLBYDikmk81QsFnQBNV9uUzA1D2vOQ)
![[2a] Variation of Parameters](https://i.ytimg.com/vi/Fzd3UkDMhsQ/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhyIDooPTAP&rs=AOn4CLCW-yijsGyu7O2DrQxneHr5J-kGDw)
![[1d] Annihilator Approach](https://i.ytimg.com/vi/u0Jjo6OJ-rY/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhRIE8oZTAP&rs=AOn4CLAetiQdGn9k0rZ_peg6v2iGTv_YIg)
![[1c] Annihilator Approach](https://i.ytimg.com/vi/ep2EiBNM4U0/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB1AaAAuADigIMCAAQARg6IGUoXDAP&rs=AOn4CLBr9C0OCyBMjIp4vA2YN_Vmpx7GqQ)
![[1b] Annihilator Approach](https://i.ytimg.com/vi/rbb7wCyBNcU/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gSAApADigIMCAAQARhLIEkoZTAP&rs=AOn4CLBxRrBE88ICJPW-kehsu1TUH2rj3w)
![[1a] Annihilator Approach](https://i.ytimg.com/vi/nbeDevzVqRk/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARg4IDgofzAP&rs=AOn4CLAHq-Yb2iyFU-_SyDdLqRuR_znAaQ)
![How to find the annihilator operator of a function [Part 2]](https://i.ytimg.com/vi/AxmmJRcD-08/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIEwoTDAP&rs=AOn4CLAenFC8iCDkqm9fNFxkffYyVcLxSw)
![Undetermined Coefficient method of Solving a differential equation [part 1]](https://i.ytimg.com/vi/kDSJa3PB_G8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg==&rs=AOn4CLB0wOzYTmvcYuSi-vzzNLyj3V_U2Q)
![Undetermined Coefficient method of Solving a differential equation [3]](https://i.ytimg.com/vi/XuudfOjBFnU/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIFEoUjAP&rs=AOn4CLCusZaw67UrVJQEhu-ONN3u1DYsfw)
![Undetermined Coefficient method of Solving a differential equation [2]](https://i.ytimg.com/vi/8QGsm693QDM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg==&rs=AOn4CLARQ9qILm4wTNSBNRdLO24rph4-Rw)


