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08:33 VII.4 Logistic equation VII.4 Logistic equation	VII.4 Logistic equation logistic model equation times growth prime capacity b. carrying rate population fact t. parameters point inflection environment cancel coefficients side xe x. From Tobin Driscoll 0 likes 80 plays 0
07:29 VII.1-2 Autonomous scalar problems VII.1-2 Autonomous scalar problems	VII.1-2 Autonomous scalar problems differential equation equilibrium hat point solutions prime function things test parabola points stability x. ode calculus ab pictures orbits origin left place From Tobin Driscoll 0 likes 83 plays 0
08:34 VI. 1-2 Order and dimension VI. 1-2 Order and dimension	VI. 1-2 Order and dimension differential equation prime equation vector definition variable variables equations problems linear unknowns matrix derivatives theta space a. u. dimensions u5 u4 u3 From Tobin Driscoll 0 likes 85 plays 0
11:25 IV.7 Method of undetermined coefficients IV.7 Method of undetermined coefficients	IV.7 Method of undetermined coefficients differential equation cosine sine times omega coefficients equation t. minus side powers method prime derivatives polynomial solution term problems frequency hand problem From Tobin Driscoll 0 likes 109 plays 0
11:30 IV. 1-2 Structure of 2nd-order equations IV. 1-2 Structure of 2nd-order equations	IV. 1-2 Structure of 2nd-order equations differential equation problem solution times linear x2 prime t. function form constants problems equations q. thing equation u. reduction definition operator functions From Tobin Driscoll 0 likes 98 plays 0
09:22 II.6 Variation of parameters II.6 Variation of parameters	II.6 Variation of parameters differential equations solution problem times side g. equation q. step t. condition answer tea prime coefficient form lot log k. f. thing From Tobin Driscoll 0 likes 116 plays 0
07:01 II.5 Homogeneous solutions (1st order) II.5 Homogeneous solutions (1st order)	II.5 Homogeneous solutions (1st order) differential equations solution problem equation t. function a. times limits limit condition cubed q. form answer thing prime rule chain steps x. From Tobin Driscoll 0 likes 121 plays 0
36:02 Discussion HW 3.6, 4.1, Math 221 Winter 2021 Discussion HW 3.6, 4.1, Math 221 Winter 2021	Discussion HW 3.6, 4.1, Math 221 Winter 2021 11995 question slope max prime function point relation alright thing points min things peaks calculus helicopter graph derivative distance law role variables variable man picture t. x. sense times side respect equals dt problem height From Rakesh Rakesh 0 likes 1 plays 0
10:18 Relative max/min I - 4.2, Math 221 Winter 2021 Relative max/min I - 4.2, Math 221 Winter 2021	Relative max/min I - 4.2, Math 221 Winter 2021 11995 question slope max prime function point relation alright thing points min things peaks calculus helicopter graph derivative distance law role hollows definition peak x. numbers maximum men places relative word From Rakesh Rakesh 0 likes 7 plays 0
01:14:03 Derivation of Euler-Lagrange equation : Integral… Derivation of Euler-Lagrange equation : Integral constraints	Derivation of Euler-Lagrange equation : Integral constraints 11995 function problem problems minimizer things eta functions thing constraint point endpoints points times prime variables condition parts integration calculus lagrange From Rakesh Rakesh 0 likes 68 plays 0 Department Name Mathematical Sciences Date Established November 06, 2020
01:14:18 Brachistochrone with end point on a curve Brachistochrone with end point on a curve	Brachistochrone with end point on a curve Brachistochrone with end point on a curve calculus of variations brachistochrone endpoint sliding phi equation curve ode solution hand alright equations question times prime condition minus things theorem problem boundary surface stuff From Rakesh Rakesh 0 likes 17 plays 0 Department Name Mathematical Sciences Date Established October 31, 2020
47:19 Integral constraints - the theorem, solution of… Integral constraints - the theorem, solution of hanging cable problem	Integral constraints - the theorem, solution of hanging cable problem 11995 lambda problem length constraint point curve equation cable lagrange function problems energy prime points delta gradient od multiplier theorem thing From Rakesh Rakesh 0 likes 17 plays 0
19:35 The brachistochrone problem - I The brachistochrone problem - I	The brachistochrone problem - I 11995 root problem minus ode theta problems delta things prime sine side y1 slide examples substitution alright f. calculus 2x issues From Rakesh Rakesh 0 likes 6 plays 0
39:48 Minimal surface of revolution problem Minimal surface of revolution problem	Minimal surface of revolution problem 11995 theta problem square alright delta curve thing sine things cosh surface cosine od root prime equation minimizer notes function cos From Rakesh Rakesh 0 likes 63 plays 0
01:11:15 Unconstrained optimization - problem and result Unconstrained optimization - problem and result	Unconstrained optimization - problem and result 11995 function problem curve surface prime x. problems ode functions respect revolution thing points lagrange p2 variables euler solution equation p. From Rakesh Rakesh 0 likes 11 plays 0
02:17 Section 3.3 Section 3.3	Section 3.3 julia matrix factorization matrix factorization hat identity qr n. transformations form prime stuff digits b. backslash solve multiplication output problem squares application From Tobin Driscoll 0 likes 3 plays 0