Find the Particular Solution of the Differential Equation Dy Dx+ycosx5cosx
Transcript
| Time | Transcript |
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| 00:00 - 00:59 | hello Kuchh Nahin find the general solution of the differential equation that everybody x minus Y is equal to cos x nai see that this is the form of DY by DX + 3 Y is equal to go now its formula its general solution is why dot integrating factor equal to integration of integration of q.net grating factor bx + c and integrating factor here is equal to integration of DX now hair power equation is DY by DX DY by DX minus Y is equal to cos x now hair now here integrating factor is equal to hair is equal to air is equal to -1 and q is equal |
| 01:00 - 01:59 | to cos x so integrating factor that is equal to integration of freedom that is equal to integration of minus of DX is equal to integration of minus x so this is our integrating factor now put in the formula you will get why dot integrating factor e power minus 1 is equal to integration of integration of cos x that is Q cos x x ki power minus x dx + see now integration of cos x ki power minus x according to pilot rule that is according to highlight rule so integration of cos x ki power minus x dx is equal to equal to |
| 02:00 - 02:59 | first function that is according to island we take first function this and second function this now first function is as it is so it is equal to cos x and integration of s function is e power minus x integration is minus of e power minus x this is in multiply and minus of integration of that is differentiation of Cos function to cause a differentiation is - 9 X and X with integration of second function Suite integration is minus of e power minus x and x + c so it is equal to it is equal to minus of e power minus x cos x and minus of integration minus minus become plus so it become a power minus sin x dx |
| 03:00 - 03:59 | now this is equal to there is a system because we don't do integration yet now e power minus x Kaushik and integration of e power minus x 9 x so again we use the pilot so this is our first function and this is our second function now again use the pilot here so - of e power minus cos x is it is minus of that is cost function is synapse as it is and integration of s function should become - of e power minus x and minus of integration of differentiation of first functions would become cos x and integration of instructions should become - of e power minus x and x bracket close so it is equal to |
| 04:00 - 04:59 | minus of e power minus x cos x and minus of minus minus become plus it become sin x ki power minus x and this may come minus minus become Plus and again - when we come - of integration of e power minus x cos x dx now we have to find the integration of cos x ki power minus x dx so I is equal to We assume it's we have to find its integration our question is this only so I is equal to minus of the power minus cos x + 9 x ki power minus 3 and minus of I so I hear is so I become is equal to power minus x divided by 2 and in bracket sin x minus |
| 05:00 - 05:59 | cos x and solution become y x power minus x is equal to a power minus x divided by 2 and in bracket sin x minus cos x + c now taking now even minus action RHS side you will get Y is equal to 1 by 2 sin x minus cos x + c power mind ki power x because power minus x in denominator and when it comes to dinner numerator site it h i was changed so this is the solution of our given question thank you |
Find the Particular Solution of the Differential Equation Dy Dx+ycosx5cosx
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