Undetermined Coefficients (Multiplying by x for Linear Independence)

[@ogjarheadd]

i never thought i’d see someone better than the organic chemistry professor

[@TheGOAT-sn3gf]

very conceptual and clear video may u prosper in your goals

[@HoustonMathPrep]

Thank you! You too!

[@cxcx942]

This is the best explanation I've seen so far .Thankyou 🤲

[@nonentity168]

Very concise. May you successfully build the website

[@curtpiazza1688]

Thank you so much for clarifying these types of problems! 😊

[@clod182c]

Clear and simple, thanks! Hope i pass mi exam 🙏🏻

[@HoustonMathPrep]

You can do it!

[@basketcase77]

*waves hand* "These are not the y-sub-ps you're looking for"

[@tanzeelakhalid18]

Respect sir kindly inform me can we solve y''+y=secx using non homogeneous second order ordinary differential equations using undetermined cofficient method Sir kindly inform me how can we solve

[@HoustonMathPrep]

The DE y'' + y = sec x is not really suited for the undetermined coefficients method. Undetermined coefficients is used when we have an educated guess about the form of the particular function yp. Since it is extremely unlikely for us to know the form of yp for this DE (unless we have already solved it), this DE should be solved using the method of variation of parameters, shown at the following link: kzbin.info/www/bejne/aZ6uqn6lap2Sgqs

[@HoustonMathPrep]

Additionally, this MIT OpenCourseWare document explains why this DE is not technically a candidate for this method (beginning on page 19). ocw.mit.edu/resources/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/study-materials/MITRES_18_008_partII_sol04.pdf#page=19

[@tanzeelakhalid18]

@@HoustonMathPrep ok sir Thank you